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Simplifying 3(a + 2) + -7 = 13 + -1(8 + -1c) Reorder the terms: 3(2 + a) + -7 = 13 + -1(8 + -1c) (2 * 3 + a * 3) + -7 = 13 + -1(8 + -1c) (6 + 3a) + -7 = 13 + -1(8 + -1c) Reorder the terms: 6 + -7 + 3a = 13 + -1(8 + -1c) Combine like terms: 6 + -7 = -1 -1 + 3a = 13 + -1(8 + -1c) -1 + 3a = 13 + (8 * -1 + -1c * -1) -1 + 3a = 13 + (-8 + 1c) Combine like terms: 13 + -8 = 5 -1 + 3a = 5 + 1c Solving -1 + 3a = 5 + 1c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3a = 5 + 1 + 1c Combine like terms: -1 + 1 = 0 0 + 3a = 5 + 1 + 1c 3a = 5 + 1 + 1c Combine like terms: 5 + 1 = 6 3a = 6 + 1c Divide each side by '3'. a = 2 + 0.3333333333c Simplifying a = 2 + 0.3333333333c
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