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Simplifying -7 = 2 + 3(m + 5) Reorder the terms: -7 = 2 + 3(5 + m) -7 = 2 + (5 * 3 + m * 3) -7 = 2 + (15 + 3m) Combine like terms: 2 + 15 = 17 -7 = 17 + 3m Solving -7 = 17 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -7 + -3m = 17 + 3m + -3m Combine like terms: 3m + -3m = 0 -7 + -3m = 17 + 0 -7 + -3m = 17 Add '7' to each side of the equation. -7 + 7 + -3m = 17 + 7 Combine like terms: -7 + 7 = 0 0 + -3m = 17 + 7 -3m = 17 + 7 Combine like terms: 17 + 7 = 24 -3m = 24 Divide each side by '-3'. m = -8 Simplifying m = -8
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