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Simplifying -4(5 + 4m) = -8 + 10(m + 4) (5 * -4 + 4m * -4) = -8 + 10(m + 4) (-20 + -16m) = -8 + 10(m + 4) Reorder the terms: -20 + -16m = -8 + 10(4 + m) -20 + -16m = -8 + (4 * 10 + m * 10) -20 + -16m = -8 + (40 + 10m) Combine like terms: -8 + 40 = 32 -20 + -16m = 32 + 10m Solving -20 + -16m = 32 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. -20 + -16m + -10m = 32 + 10m + -10m Combine like terms: -16m + -10m = -26m -20 + -26m = 32 + 10m + -10m Combine like terms: 10m + -10m = 0 -20 + -26m = 32 + 0 -20 + -26m = 32 Add '20' to each side of the equation. -20 + 20 + -26m = 32 + 20 Combine like terms: -20 + 20 = 0 0 + -26m = 32 + 20 -26m = 32 + 20 Combine like terms: 32 + 20 = 52 -26m = 52 Divide each side by '-26'. m = -2 Simplifying m = -2
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