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Simplifying -5(m + 4) + 4 = 4m + 29 Reorder the terms: -5(4 + m) + 4 = 4m + 29 (4 * -5 + m * -5) + 4 = 4m + 29 (-20 + -5m) + 4 = 4m + 29 Reorder the terms: -20 + 4 + -5m = 4m + 29 Combine like terms: -20 + 4 = -16 -16 + -5m = 4m + 29 Reorder the terms: -16 + -5m = 29 + 4m Solving -16 + -5m = 29 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -16 + -5m + -4m = 29 + 4m + -4m Combine like terms: -5m + -4m = -9m -16 + -9m = 29 + 4m + -4m Combine like terms: 4m + -4m = 0 -16 + -9m = 29 + 0 -16 + -9m = 29 Add '16' to each side of the equation. -16 + 16 + -9m = 29 + 16 Combine like terms: -16 + 16 = 0 0 + -9m = 29 + 16 -9m = 29 + 16 Combine like terms: 29 + 16 = 45 -9m = 45 Divide each side by '-9'. m = -5 Simplifying m = -5
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