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Simplifying 3(m + 1) + -9 = 5(2m + 7) + -6 Reorder the terms: 3(1 + m) + -9 = 5(2m + 7) + -6 (1 * 3 + m * 3) + -9 = 5(2m + 7) + -6 (3 + 3m) + -9 = 5(2m + 7) + -6 Reorder the terms: 3 + -9 + 3m = 5(2m + 7) + -6 Combine like terms: 3 + -9 = -6 -6 + 3m = 5(2m + 7) + -6 Reorder the terms: -6 + 3m = 5(7 + 2m) + -6 -6 + 3m = (7 * 5 + 2m * 5) + -6 -6 + 3m = (35 + 10m) + -6 Reorder the terms: -6 + 3m = 35 + -6 + 10m Combine like terms: 35 + -6 = 29 -6 + 3m = 29 + 10m Solving -6 + 3m = 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. -6 + 3m + -10m = 29 + 10m + -10m Combine like terms: 3m + -10m = -7m -6 + -7m = 29 + 10m + -10m Combine like terms: 10m + -10m = 0 -6 + -7m = 29 + 0 -6 + -7m = 29 Add '6' to each side of the equation. -6 + 6 + -7m = 29 + 6 Combine like terms: -6 + 6 = 0 0 + -7m = 29 + 6 -7m = 29 + 6 Combine like terms: 29 + 6 = 35 -7m = 35 Divide each side by '-7'. m = -5 Simplifying m = -5
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