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Simplifying 3(4 + -1m) = 8(m + -4) (4 * 3 + -1m * 3) = 8(m + -4) (12 + -3m) = 8(m + -4) Reorder the terms: 12 + -3m = 8(-4 + m) 12 + -3m = (-4 * 8 + m * 8) 12 + -3m = (-32 + 8m) Solving 12 + -3m = -32 + 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 + -3m + -8m = -32 + 8m + -8m Combine like terms: -3m + -8m = -11m 12 + -11m = -32 + 8m + -8m Combine like terms: 8m + -8m = 0 12 + -11m = -32 + 0 12 + -11m = -32 Add '-12' to each side of the equation. 12 + -12 + -11m = -32 + -12 Combine like terms: 12 + -12 = 0 0 + -11m = -32 + -12 -11m = -32 + -12 Combine like terms: -32 + -12 = -44 -11m = -44 Divide each side by '-11'. m = 4 Simplifying m = 4
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