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Simplifying 2(m + 10) = 4(m + -15) Reorder the terms: 2(10 + m) = 4(m + -15) (10 * 2 + m * 2) = 4(m + -15) (20 + 2m) = 4(m + -15) Reorder the terms: 20 + 2m = 4(-15 + m) 20 + 2m = (-15 * 4 + m * 4) 20 + 2m = (-60 + 4m) Solving 20 + 2m = -60 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 20 + 2m + -4m = -60 + 4m + -4m Combine like terms: 2m + -4m = -2m 20 + -2m = -60 + 4m + -4m Combine like terms: 4m + -4m = 0 20 + -2m = -60 + 0 20 + -2m = -60 Add '-20' to each side of the equation. 20 + -20 + -2m = -60 + -20 Combine like terms: 20 + -20 = 0 0 + -2m = -60 + -20 -2m = -60 + -20 Combine like terms: -60 + -20 = -80 -2m = -80 Divide each side by '-2'. m = 40 Simplifying m = 40
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