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Simplifying 2(m + -7) = 5(m + 5) + -15 Reorder the terms: 2(-7 + m) = 5(m + 5) + -15 (-7 * 2 + m * 2) = 5(m + 5) + -15 (-14 + 2m) = 5(m + 5) + -15 Reorder the terms: -14 + 2m = 5(5 + m) + -15 -14 + 2m = (5 * 5 + m * 5) + -15 -14 + 2m = (25 + 5m) + -15 Reorder the terms: -14 + 2m = 25 + -15 + 5m Combine like terms: 25 + -15 = 10 -14 + 2m = 10 + 5m Solving -14 + 2m = 10 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -14 + 2m + -5m = 10 + 5m + -5m Combine like terms: 2m + -5m = -3m -14 + -3m = 10 + 5m + -5m Combine like terms: 5m + -5m = 0 -14 + -3m = 10 + 0 -14 + -3m = 10 Add '14' to each side of the equation. -14 + 14 + -3m = 10 + 14 Combine like terms: -14 + 14 = 0 0 + -3m = 10 + 14 -3m = 10 + 14 Combine like terms: 10 + 14 = 24 -3m = 24 Divide each side by '-3'. m = -8 Simplifying m = -8
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