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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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