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Simplifying 9(m + -4) + -4m = 14 + 5(2m + 3) Reorder the terms: 9(-4 + m) + -4m = 14 + 5(2m + 3) (-4 * 9 + m * 9) + -4m = 14 + 5(2m + 3) (-36 + 9m) + -4m = 14 + 5(2m + 3) Combine like terms: 9m + -4m = 5m -36 + 5m = 14 + 5(2m + 3) Reorder the terms: -36 + 5m = 14 + 5(3 + 2m) -36 + 5m = 14 + (3 * 5 + 2m * 5) -36 + 5m = 14 + (15 + 10m) Combine like terms: 14 + 15 = 29 -36 + 5m = 29 + 10m Solving -36 + 5m = 29 + 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. -36 + 5m + -10m = 29 + 10m + -10m Combine like terms: 5m + -10m = -5m -36 + -5m = 29 + 10m + -10m Combine like terms: 10m + -10m = 0 -36 + -5m = 29 + 0 -36 + -5m = 29 Add '36' to each side of the equation. -36 + 36 + -5m = 29 + 36 Combine like terms: -36 + 36 = 0 0 + -5m = 29 + 36 -5m = 29 + 36 Combine like terms: 29 + 36 = 65 -5m = 65 Divide each side by '-5'. m = -13 Simplifying m = -13
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