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Simplifying -4(m + 5) = 6(m + 15) Reorder the terms: -4(5 + m) = 6(m + 15) (5 * -4 + m * -4) = 6(m + 15) (-20 + -4m) = 6(m + 15) Reorder the terms: -20 + -4m = 6(15 + m) -20 + -4m = (15 * 6 + m * 6) -20 + -4m = (90 + 6m) Solving -20 + -4m = 90 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -20 + -4m + -6m = 90 + 6m + -6m Combine like terms: -4m + -6m = -10m -20 + -10m = 90 + 6m + -6m Combine like terms: 6m + -6m = 0 -20 + -10m = 90 + 0 -20 + -10m = 90 Add '20' to each side of the equation. -20 + 20 + -10m = 90 + 20 Combine like terms: -20 + 20 = 0 0 + -10m = 90 + 20 -10m = 90 + 20 Combine like terms: 90 + 20 = 110 -10m = 110 Divide each side by '-10'. m = -11 Simplifying m = -11
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