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Simplifying 3[2m + -9 + 6m] = 3m + 29 + -7m Reorder the terms: 3[-9 + 2m + 6m] = 3m + 29 + -7m Combine like terms: 2m + 6m = 8m 3[-9 + 8m] = 3m + 29 + -7m [-9 * 3 + 8m * 3] = 3m + 29 + -7m [-27 + 24m] = 3m + 29 + -7m Reorder the terms: -27 + 24m = 29 + 3m + -7m Combine like terms: 3m + -7m = -4m -27 + 24m = 29 + -4m Solving -27 + 24m = 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. -27 + 24m + 4m = 29 + -4m + 4m Combine like terms: 24m + 4m = 28m -27 + 28m = 29 + -4m + 4m Combine like terms: -4m + 4m = 0 -27 + 28m = 29 + 0 -27 + 28m = 29 Add '27' to each side of the equation. -27 + 27 + 28m = 29 + 27 Combine like terms: -27 + 27 = 0 0 + 28m = 29 + 27 28m = 29 + 27 Combine like terms: 29 + 27 = 56 28m = 56 Divide each side by '28'. m = 2 Simplifying m = 2
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