5 + 3 = 3 + 5, Commutative, Associative, Identity, Distributive, 3 + 0 = 3, Commutative, Associative, Identity, Distributive, 3(4 + 5) = 3 · 4 + 3 · 5, Commutative, Associative, Identity, Distributive, (3 + 5) + 7 = 3 + (5 + 7), Commutative, Associative, Identity, Distributive, 5 · 1 = 5, Commutative, Associative, Identity, Distributive, 2 · (3 · 4) = (2 · 3) · 4, Commutative, Associative, Identity, Distributive, 4(6) + 4(8) = 4(6 + 8), Commutative, Associative, Identity, Distributive, 6 · 7 = 7 · 6, Commutative, Associative, Identity, Distributive, 1 + 2 = 2 + 1, Commutative, Associative, Identity, Distributive, 1 · 9 = 9, Commutative, Associative, Identity, Distributive, (1 + 2) + 3 = 1 + (2 + 3), Commutative, Associative, Identity, Distributive, 10(2 + 4) = 10 · 2 + 10 · 4, Commutative, Associative, Identity, Distributive, 8(7 + 6) = 8(7) + 8(6), Commutative, Associative, Identity, Distributive, 8 + (7 + 6) = (8 + 7) + 6, Commutative, Associative, Identity, Distributive, 0 + 4 = 4, Commutative, Associative, Identity, Distributive, a + b = b + a, Commutative, Associative, Identity, Distributive, a + 0 = a, Commutative, Associative, Identity, Distributive, a · b = b · a, Commutative, Associative, Identity, Distributive, a(b + c) = a · b + a · c, Commutative, Associative, Identity, Distributive, (a + b) + c = a + (b + c), Commutative, Associative, Identity, Distributive, a · (b · c) = (a · b) · c, Commutative, Associative, Identity, Distributive, a · 1 = a, Commutative, Associative, Identity, Distributive, 4 · 9 = 9 · 4, Commutative, Associative, Identity, Distributive, d(e) + d(f) = d(e + f), Commutative, Associative, Identity, Distributive.

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