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Simplifying -1(-9 + 7m) + -8m = 2 + -8(m + 7) (-9 * -1 + 7m * -1) + -8m = 2 + -8(m + 7) (9 + -7m) + -8m = 2 + -8(m + 7) Combine like terms: -7m + -8m = -15m 9 + -15m = 2 + -8(m + 7) Reorder the terms: 9 + -15m = 2 + -8(7 + m) 9 + -15m = 2 + (7 * -8 + m * -8) 9 + -15m = 2 + (-56 + -8m) Combine like terms: 2 + -56 = -54 9 + -15m = -54 + -8m Solving 9 + -15m = -54 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. 9 + -15m + 8m = -54 + -8m + 8m Combine like terms: -15m + 8m = -7m 9 + -7m = -54 + -8m + 8m Combine like terms: -8m + 8m = 0 9 + -7m = -54 + 0 9 + -7m = -54 Add '-9' to each side of the equation. 9 + -9 + -7m = -54 + -9 Combine like terms: 9 + -9 = 0 0 + -7m = -54 + -9 -7m = -54 + -9 Combine like terms: -54 + -9 = -63 -7m = -63 Divide each side by '-7'. m = 9 Simplifying m = 9
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