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Simplifying 2(5 + m) = -2(1 + -7m) (5 * 2 + m * 2) = -2(1 + -7m) (10 + 2m) = -2(1 + -7m) 10 + 2m = (1 * -2 + -7m * -2) 10 + 2m = (-2 + 14m) Solving 10 + 2m = -2 + 14m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14m' to each side of the equation. 10 + 2m + -14m = -2 + 14m + -14m Combine like terms: 2m + -14m = -12m 10 + -12m = -2 + 14m + -14m Combine like terms: 14m + -14m = 0 10 + -12m = -2 + 0 10 + -12m = -2 Add '-10' to each side of the equation. 10 + -10 + -12m = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -12m = -2 + -10 -12m = -2 + -10 Combine like terms: -2 + -10 = -12 -12m = -12 Divide each side by '-12'. m = 1 Simplifying m = 1
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