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Simplifying 4 + -4(-2 + -1m) = 8 + 8(m + 7) 4 + (-2 * -4 + -1m * -4) = 8 + 8(m + 7) 4 + (8 + 4m) = 8 + 8(m + 7) Combine like terms: 4 + 8 = 12 12 + 4m = 8 + 8(m + 7) Reorder the terms: 12 + 4m = 8 + 8(7 + m) 12 + 4m = 8 + (7 * 8 + m * 8) 12 + 4m = 8 + (56 + 8m) Combine like terms: 8 + 56 = 64 12 + 4m = 64 + 8m Solving 12 + 4m = 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. 12 + 4m + -8m = 64 + 8m + -8m Combine like terms: 4m + -8m = -4m 12 + -4m = 64 + 8m + -8m Combine like terms: 8m + -8m = 0 12 + -4m = 64 + 0 12 + -4m = 64 Add '-12' to each side of the equation. 12 + -12 + -4m = 64 + -12 Combine like terms: 12 + -12 = 0 0 + -4m = 64 + -12 -4m = 64 + -12 Combine like terms: 64 + -12 = 52 -4m = 52 Divide each side by '-4'. m = -13 Simplifying m = -13
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