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Simplifying 4(m + 9) + 6 = -3(m + -4) + 5 Reorder the terms: 4(9 + m) + 6 = -3(m + -4) + 5 (9 * 4 + m * 4) + 6 = -3(m + -4) + 5 (36 + 4m) + 6 = -3(m + -4) + 5 Reorder the terms: 36 + 6 + 4m = -3(m + -4) + 5 Combine like terms: 36 + 6 = 42 42 + 4m = -3(m + -4) + 5 Reorder the terms: 42 + 4m = -3(-4 + m) + 5 42 + 4m = (-4 * -3 + m * -3) + 5 42 + 4m = (12 + -3m) + 5 Reorder the terms: 42 + 4m = 12 + 5 + -3m Combine like terms: 12 + 5 = 17 42 + 4m = 17 + -3m Solving 42 + 4m = 17 + -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. 42 + 4m + 3m = 17 + -3m + 3m Combine like terms: 4m + 3m = 7m 42 + 7m = 17 + -3m + 3m Combine like terms: -3m + 3m = 0 42 + 7m = 17 + 0 42 + 7m = 17 Add '-42' to each side of the equation. 42 + -42 + 7m = 17 + -42 Combine like terms: 42 + -42 = 0 0 + 7m = 17 + -42 7m = 17 + -42 Combine like terms: 17 + -42 = -25 7m = -25 Divide each side by '7'. m = -3.571428571 Simplifying m = -3.571428571
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