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Simplifying -4(3m + 5) = 2(m + -3) Reorder the terms: -4(5 + 3m) = 2(m + -3) (5 * -4 + 3m * -4) = 2(m + -3) (-20 + -12m) = 2(m + -3) Reorder the terms: -20 + -12m = 2(-3 + m) -20 + -12m = (-3 * 2 + m * 2) -20 + -12m = (-6 + 2m) Solving -20 + -12m = -6 + 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 = -6 + 2m + -2m Combine like terms: -12m + -2m = -14m -20 + -14m = -6 + 2m + -2m Combine like terms: 2m + -2m = 0 -20 + -14m = -6 + 0 -20 + -14m = -6 Add '20' to each side of the equation. -20 + 20 + -14m = -6 + 20 Combine like terms: -20 + 20 = 0 0 + -14m = -6 + 20 -14m = -6 + 20 Combine like terms: -6 + 20 = 14 -14m = 14 Divide each side by '-14'. m = -1 Simplifying m = -1
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