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Simplifying 3(2m + -9 + 6m) = 3m + 27 + -7m Reorder the terms: 3(-9 + 2m + 6m) = 3m + 27 + -7m Combine like terms: 2m + 6m = 8m 3(-9 + 8m) = 3m + 27 + -7m (-9 * 3 + 8m * 3) = 3m + 27 + -7m (-27 + 24m) = 3m + 27 + -7m Reorder the terms: -27 + 24m = 27 + 3m + -7m Combine like terms: 3m + -7m = -4m -27 + 24m = 27 + -4m Solving -27 + 24m = 27 + -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 = 27 + -4m + 4m Combine like terms: 24m + 4m = 28m -27 + 28m = 27 + -4m + 4m Combine like terms: -4m + 4m = 0 -27 + 28m = 27 + 0 -27 + 28m = 27 Add '27' to each side of the equation. -27 + 27 + 28m = 27 + 27 Combine like terms: -27 + 27 = 0 0 + 28m = 27 + 27 28m = 27 + 27 Combine like terms: 27 + 27 = 54 28m = 54 Divide each side by '28'. m = 1.928571429 Simplifying m = 1.928571429
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