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Simplifying 3(2m + -6) + 9 = 12 + -5 Reorder the terms: 3(-6 + 2m) + 9 = 12 + -5 (-6 * 3 + 2m * 3) + 9 = 12 + -5 (-18 + 6m) + 9 = 12 + -5 Reorder the terms: -18 + 9 + 6m = 12 + -5 Combine like terms: -18 + 9 = -9 -9 + 6m = 12 + -5 Combine like terms: 12 + -5 = 7 -9 + 6m = 7 Solving -9 + 6m = 7 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 6m = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 6m = 7 + 9 6m = 7 + 9 Combine like terms: 7 + 9 = 16 6m = 16 Divide each side by '6'. m = 2.666666667 Simplifying m = 2.666666667
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