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Simplifying -2(-4m + -2) = 1 + -7(-1m + -2) Reorder the terms: -2(-2 + -4m) = 1 + -7(-1m + -2) (-2 * -2 + -4m * -2) = 1 + -7(-1m + -2) (4 + 8m) = 1 + -7(-1m + -2) Reorder the terms: 4 + 8m = 1 + -7(-2 + -1m) 4 + 8m = 1 + (-2 * -7 + -1m * -7) 4 + 8m = 1 + (14 + 7m) Combine like terms: 1 + 14 = 15 4 + 8m = 15 + 7m Solving 4 + 8m = 15 + 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. 4 + 8m + -7m = 15 + 7m + -7m Combine like terms: 8m + -7m = 1m 4 + 1m = 15 + 7m + -7m Combine like terms: 7m + -7m = 0 4 + 1m = 15 + 0 4 + 1m = 15 Add '-4' to each side of the equation. 4 + -4 + 1m = 15 + -4 Combine like terms: 4 + -4 = 0 0 + 1m = 15 + -4 1m = 15 + -4 Combine like terms: 15 + -4 = 11 1m = 11 Divide each side by '1'. m = 11 Simplifying m = 11
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