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Simplifying 8(m + -3) = 3(m + -4) + -12 Reorder the terms: 8(-3 + m) = 3(m + -4) + -12 (-3 * 8 + m * 8) = 3(m + -4) + -12 (-24 + 8m) = 3(m + -4) + -12 Reorder the terms: -24 + 8m = 3(-4 + m) + -12 -24 + 8m = (-4 * 3 + m * 3) + -12 -24 + 8m = (-12 + 3m) + -12 Reorder the terms: -24 + 8m = -12 + -12 + 3m Combine like terms: -12 + -12 = -24 -24 + 8m = -24 + 3m Add '24' to each side of the equation. -24 + 24 + 8m = -24 + 24 + 3m Combine like terms: -24 + 24 = 0 0 + 8m = -24 + 24 + 3m 8m = -24 + 24 + 3m Combine like terms: -24 + 24 = 0 8m = 0 + 3m 8m = 3m Solving 8m = 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 8m + -3m = 3m + -3m Combine like terms: 8m + -3m = 5m 5m = 3m + -3m Combine like terms: 3m + -3m = 0 5m = 0 Divide each side by '5'. m = 0 Simplifying m = 0
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