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Simplifying 15 + 6m = 7(m + -2) Reorder the terms: 15 + 6m = 7(-2 + m) 15 + 6m = (-2 * 7 + m * 7) 15 + 6m = (-14 + 7m) Solving 15 + 6m = -14 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 15 + 6m + -7m = -14 + 7m + -7m Combine like terms: 6m + -7m = -1m 15 + -1m = -14 + 7m + -7m Combine like terms: 7m + -7m = 0 15 + -1m = -14 + 0 15 + -1m = -14 Add '-15' to each side of the equation. 15 + -15 + -1m = -14 + -15 Combine like terms: 15 + -15 = 0 0 + -1m = -14 + -15 -1m = -14 + -15 Combine like terms: -14 + -15 = -29 -1m = -29 Divide each side by '-1'. m = 29 Simplifying m = 29
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