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Simplifying 4(m + 9) = -3(m + -4) Reorder the terms: 4(9 + m) = -3(m + -4) (9 * 4 + m * 4) = -3(m + -4) (36 + 4m) = -3(m + -4) Reorder the terms: 36 + 4m = -3(-4 + m) 36 + 4m = (-4 * -3 + m * -3) 36 + 4m = (12 + -3m) Solving 36 + 4m = 12 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 36 + 4m + 3m = 12 + -3m + 3m Combine like terms: 4m + 3m = 7m 36 + 7m = 12 + -3m + 3m Combine like terms: -3m + 3m = 0 36 + 7m = 12 + 0 36 + 7m = 12 Add '-36' to each side of the equation. 36 + -36 + 7m = 12 + -36 Combine like terms: 36 + -36 = 0 0 + 7m = 12 + -36 7m = 12 + -36 Combine like terms: 12 + -36 = -24 7m = -24 Divide each side by '7'. m = -3.428571429 Simplifying m = -3.428571429
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