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Simplifying -6 + 5(2 + -2m) = 2(m + 8) -6 + (2 * 5 + -2m * 5) = 2(m + 8) -6 + (10 + -10m) = 2(m + 8) Combine like terms: -6 + 10 = 4 4 + -10m = 2(m + 8) Reorder the terms: 4 + -10m = 2(8 + m) 4 + -10m = (8 * 2 + m * 2) 4 + -10m = (16 + 2m) Solving 4 + -10m = 16 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 4 + -10m + -2m = 16 + 2m + -2m Combine like terms: -10m + -2m = -12m 4 + -12m = 16 + 2m + -2m Combine like terms: 2m + -2m = 0 4 + -12m = 16 + 0 4 + -12m = 16 Add '-4' to each side of the equation. 4 + -4 + -12m = 16 + -4 Combine like terms: 4 + -4 = 0 0 + -12m = 16 + -4 -12m = 16 + -4 Combine like terms: 16 + -4 = 12 -12m = 12 Divide each side by '-12'. m = -1 Simplifying m = -1
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