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Simplifying -4(3m + 5) = 2(m + -2) Reorder the terms: -4(5 + 3m) = 2(m + -2) (5 * -4 + 3m * -4) = 2(m + -2) (-20 + -12m) = 2(m + -2) Reorder the terms: -20 + -12m = 2(-2 + m) -20 + -12m = (-2 * 2 + m * 2) -20 + -12m = (-4 + 2m) Solving -20 + -12m = -4 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -20 + -12m + -2m = -4 + 2m + -2m Combine like terms: -12m + -2m = -14m -20 + -14m = -4 + 2m + -2m Combine like terms: 2m + -2m = 0 -20 + -14m = -4 + 0 -20 + -14m = -4 Add '20' to each side of the equation. -20 + 20 + -14m = -4 + 20 Combine like terms: -20 + 20 = 0 0 + -14m = -4 + 20 -14m = -4 + 20 Combine like terms: -4 + 20 = 16 -14m = 16 Divide each side by '-14'. m = -1.142857143 Simplifying m = -1.142857143
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