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Simplifying 4(m + -5) = 2(m + 4) + -12 Reorder the terms: 4(-5 + m) = 2(m + 4) + -12 (-5 * 4 + m * 4) = 2(m + 4) + -12 (-20 + 4m) = 2(m + 4) + -12 Reorder the terms: -20 + 4m = 2(4 + m) + -12 -20 + 4m = (4 * 2 + m * 2) + -12 -20 + 4m = (8 + 2m) + -12 Reorder the terms: -20 + 4m = 8 + -12 + 2m Combine like terms: 8 + -12 = -4 -20 + 4m = -4 + 2m Solving -20 + 4m = -4 + 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. -20 + 4m + -2m = -4 + 2m + -2m Combine like terms: 4m + -2m = 2m -20 + 2m = -4 + 2m + -2m Combine like terms: 2m + -2m = 0 -20 + 2m = -4 + 0 -20 + 2m = -4 Add '20' to each side of the equation. -20 + 20 + 2m = -4 + 20 Combine like terms: -20 + 20 = 0 0 + 2m = -4 + 20 2m = -4 + 20 Combine like terms: -4 + 20 = 16 2m = 16 Divide each side by '2'. m = 8 Simplifying m = 8
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