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Simplifying 8 + -1(m + 1) = 3(4m + -2) Reorder the terms: 8 + -1(1 + m) = 3(4m + -2) 8 + (1 * -1 + m * -1) = 3(4m + -2) 8 + (-1 + -1m) = 3(4m + -2) Combine like terms: 8 + -1 = 7 7 + -1m = 3(4m + -2) Reorder the terms: 7 + -1m = 3(-2 + 4m) 7 + -1m = (-2 * 3 + 4m * 3) 7 + -1m = (-6 + 12m) Solving 7 + -1m = -6 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 7 + -1m + -12m = -6 + 12m + -12m Combine like terms: -1m + -12m = -13m 7 + -13m = -6 + 12m + -12m Combine like terms: 12m + -12m = 0 7 + -13m = -6 + 0 7 + -13m = -6 Add '-7' to each side of the equation. 7 + -7 + -13m = -6 + -7 Combine like terms: 7 + -7 = 0 0 + -13m = -6 + -7 -13m = -6 + -7 Combine like terms: -6 + -7 = -13 -13m = -13 Divide each side by '-13'. m = 1 Simplifying m = 1
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