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Simplifying 7(m + 10) = 8(m + -8) Reorder the terms: 7(10 + m) = 8(m + -8) (10 * 7 + m * 7) = 8(m + -8) (70 + 7m) = 8(m + -8) Reorder the terms: 70 + 7m = 8(-8 + m) 70 + 7m = (-8 * 8 + m * 8) 70 + 7m = (-64 + 8m) Solving 70 + 7m = -64 + 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. 70 + 7m + -8m = -64 + 8m + -8m Combine like terms: 7m + -8m = -1m 70 + -1m = -64 + 8m + -8m Combine like terms: 8m + -8m = 0 70 + -1m = -64 + 0 70 + -1m = -64 Add '-70' to each side of the equation. 70 + -70 + -1m = -64 + -70 Combine like terms: 70 + -70 = 0 0 + -1m = -64 + -70 -1m = -64 + -70 Combine like terms: -64 + -70 = -134 -1m = -134 Divide each side by '-1'. m = 134 Simplifying m = 134
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