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Simplifying -5(m + 5) = -4(m + 6) Reorder the terms: -5(5 + m) = -4(m + 6) (5 * -5 + m * -5) = -4(m + 6) (-25 + -5m) = -4(m + 6) Reorder the terms: -25 + -5m = -4(6 + m) -25 + -5m = (6 * -4 + m * -4) -25 + -5m = (-24 + -4m) Solving -25 + -5m = -24 + -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. -25 + -5m + 4m = -24 + -4m + 4m Combine like terms: -5m + 4m = -1m -25 + -1m = -24 + -4m + 4m Combine like terms: -4m + 4m = 0 -25 + -1m = -24 + 0 -25 + -1m = -24 Add '25' to each side of the equation. -25 + 25 + -1m = -24 + 25 Combine like terms: -25 + 25 = 0 0 + -1m = -24 + 25 -1m = -24 + 25 Combine like terms: -24 + 25 = 1 -1m = 1 Divide each side by '-1'. m = -1 Simplifying m = -1
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