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Simplifying -1m + 5(m + -4) = 4m + 4(m + 6) Reorder the terms: -1m + 5(-4 + m) = 4m + 4(m + 6) -1m + (-4 * 5 + m * 5) = 4m + 4(m + 6) -1m + (-20 + 5m) = 4m + 4(m + 6) Reorder the terms: -20 + -1m + 5m = 4m + 4(m + 6) Combine like terms: -1m + 5m = 4m -20 + 4m = 4m + 4(m + 6) Reorder the terms: -20 + 4m = 4m + 4(6 + m) -20 + 4m = 4m + (6 * 4 + m * 4) -20 + 4m = 4m + (24 + 4m) Reorder the terms: -20 + 4m = 24 + 4m + 4m Combine like terms: 4m + 4m = 8m -20 + 4m = 24 + 8m Solving -20 + 4m = 24 + 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. -20 + 4m + -8m = 24 + 8m + -8m Combine like terms: 4m + -8m = -4m -20 + -4m = 24 + 8m + -8m Combine like terms: 8m + -8m = 0 -20 + -4m = 24 + 0 -20 + -4m = 24 Add '20' to each side of the equation. -20 + 20 + -4m = 24 + 20 Combine like terms: -20 + 20 = 0 0 + -4m = 24 + 20 -4m = 24 + 20 Combine like terms: 24 + 20 = 44 -4m = 44 Divide each side by '-4'. m = -11 Simplifying m = -11
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