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Simplifying 4(m + -6) + -5m = 4 + 8(1 + m) Reorder the terms: 4(-6 + m) + -5m = 4 + 8(1 + m) (-6 * 4 + m * 4) + -5m = 4 + 8(1 + m) (-24 + 4m) + -5m = 4 + 8(1 + m) Combine like terms: 4m + -5m = -1m -24 + -1m = 4 + 8(1 + m) -24 + -1m = 4 + (1 * 8 + m * 8) -24 + -1m = 4 + (8 + 8m) Combine like terms: 4 + 8 = 12 -24 + -1m = 12 + 8m Solving -24 + -1m = 12 + 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. -24 + -1m + -8m = 12 + 8m + -8m Combine like terms: -1m + -8m = -9m -24 + -9m = 12 + 8m + -8m Combine like terms: 8m + -8m = 0 -24 + -9m = 12 + 0 -24 + -9m = 12 Add '24' to each side of the equation. -24 + 24 + -9m = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -9m = 12 + 24 -9m = 12 + 24 Combine like terms: 12 + 24 = 36 -9m = 36 Divide each side by '-9'. m = -4 Simplifying m = -4
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