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Simplifying 4(m + -5) = -2(m + 2) Reorder the terms: 4(-5 + m) = -2(m + 2) (-5 * 4 + m * 4) = -2(m + 2) (-20 + 4m) = -2(m + 2) Reorder the terms: -20 + 4m = -2(2 + m) -20 + 4m = (2 * -2 + m * -2) -20 + 4m = (-4 + -2m) Solving -20 + 4m = -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 + 4m + 2m = -4 + -2m + 2m Combine like terms: 4m + 2m = 6m -20 + 6m = -4 + -2m + 2m Combine like terms: -2m + 2m = 0 -20 + 6m = -4 + 0 -20 + 6m = -4 Add '20' to each side of the equation. -20 + 20 + 6m = -4 + 20 Combine like terms: -20 + 20 = 0 0 + 6m = -4 + 20 6m = -4 + 20 Combine like terms: -4 + 20 = 16 6m = 16 Divide each side by '6'. m = 2.666666667 Simplifying m = 2.666666667
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