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