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Simplifying 12m + 5(3m + -4) + 6 = 13 Reorder the terms: 12m + 5(-4 + 3m) + 6 = 13 12m + (-4 * 5 + 3m * 5) + 6 = 13 12m + (-20 + 15m) + 6 = 13 Reorder the terms: -20 + 6 + 12m + 15m = 13 Combine like terms: -20 + 6 = -14 -14 + 12m + 15m = 13 Combine like terms: 12m + 15m = 27m -14 + 27m = 13 Solving -14 + 27m = 13 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 27m = 13 + 14 Combine like terms: -14 + 14 = 0 0 + 27m = 13 + 14 27m = 13 + 14 Combine like terms: 13 + 14 = 27 27m = 27 Divide each side by '27'. m = 1 Simplifying m = 1
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