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Simplifying 14(2m + -13) + -2(5m + 12) = 11 Reorder the terms: 14(-13 + 2m) + -2(5m + 12) = 11 (-13 * 14 + 2m * 14) + -2(5m + 12) = 11 (-182 + 28m) + -2(5m + 12) = 11 Reorder the terms: -182 + 28m + -2(12 + 5m) = 11 -182 + 28m + (12 * -2 + 5m * -2) = 11 -182 + 28m + (-24 + -10m) = 11 Reorder the terms: -182 + -24 + 28m + -10m = 11 Combine like terms: -182 + -24 = -206 -206 + 28m + -10m = 11 Combine like terms: 28m + -10m = 18m -206 + 18m = 11 Solving -206 + 18m = 11 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '206' to each side of the equation. -206 + 206 + 18m = 11 + 206 Combine like terms: -206 + 206 = 0 0 + 18m = 11 + 206 18m = 11 + 206 Combine like terms: 11 + 206 = 217 18m = 217 Divide each side by '18'. m = 12.05555556 Simplifying m = 12.05555556
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