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Simplifying 3(2m + -9 + 6m) = 3m + 29 + -7 Reorder the terms: 3(-9 + 2m + 6m) = 3m + 29 + -7 Combine like terms: 2m + 6m = 8m 3(-9 + 8m) = 3m + 29 + -7 (-9 * 3 + 8m * 3) = 3m + 29 + -7 (-27 + 24m) = 3m + 29 + -7 Reorder the terms: -27 + 24m = 29 + -7 + 3m Combine like terms: 29 + -7 = 22 -27 + 24m = 22 + 3m Solving -27 + 24m = 22 + 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. -27 + 24m + -3m = 22 + 3m + -3m Combine like terms: 24m + -3m = 21m -27 + 21m = 22 + 3m + -3m Combine like terms: 3m + -3m = 0 -27 + 21m = 22 + 0 -27 + 21m = 22 Add '27' to each side of the equation. -27 + 27 + 21m = 22 + 27 Combine like terms: -27 + 27 = 0 0 + 21m = 22 + 27 21m = 22 + 27 Combine like terms: 22 + 27 = 49 21m = 49 Divide each side by '21'. m = 2.333333333 Simplifying m = 2.333333333
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