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Simplifying 15 + m = 2(m + 5) + -2 Reorder the terms: 15 + m = 2(5 + m) + -2 15 + m = (5 * 2 + m * 2) + -2 15 + m = (10 + 2m) + -2 Reorder the terms: 15 + m = 10 + -2 + 2m Combine like terms: 10 + -2 = 8 15 + m = 8 + 2m Solving 15 + m = 8 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 15 + m + -2m = 8 + 2m + -2m Combine like terms: m + -2m = -1m 15 + -1m = 8 + 2m + -2m Combine like terms: 2m + -2m = 0 15 + -1m = 8 + 0 15 + -1m = 8 Add '-15' to each side of the equation. 15 + -15 + -1m = 8 + -15 Combine like terms: 15 + -15 = 0 0 + -1m = 8 + -15 -1m = 8 + -15 Combine like terms: 8 + -15 = -7 -1m = -7 Divide each side by '-1'. m = 7 Simplifying m = 7
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