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Simplifying 8(1 + m) + 2m = 7(m + -1) (1 * 8 + m * 8) + 2m = 7(m + -1) (8 + 8m) + 2m = 7(m + -1) Combine like terms: 8m + 2m = 10m 8 + 10m = 7(m + -1) Reorder the terms: 8 + 10m = 7(-1 + m) 8 + 10m = (-1 * 7 + m * 7) 8 + 10m = (-7 + 7m) Solving 8 + 10m = -7 + 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. 8 + 10m + -7m = -7 + 7m + -7m Combine like terms: 10m + -7m = 3m 8 + 3m = -7 + 7m + -7m Combine like terms: 7m + -7m = 0 8 + 3m = -7 + 0 8 + 3m = -7 Add '-8' to each side of the equation. 8 + -8 + 3m = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 3m = -7 + -8 3m = -7 + -8 Combine like terms: -7 + -8 = -15 3m = -15 Divide each side by '3'. m = -5 Simplifying m = -5
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