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Simplifying -4(m + 10) = -9(m + -5) Reorder the terms: -4(10 + m) = -9(m + -5) (10 * -4 + m * -4) = -9(m + -5) (-40 + -4m) = -9(m + -5) Reorder the terms: -40 + -4m = -9(-5 + m) -40 + -4m = (-5 * -9 + m * -9) -40 + -4m = (45 + -9m) Solving -40 + -4m = 45 + -9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9m' to each side of the equation. -40 + -4m + 9m = 45 + -9m + 9m Combine like terms: -4m + 9m = 5m -40 + 5m = 45 + -9m + 9m Combine like terms: -9m + 9m = 0 -40 + 5m = 45 + 0 -40 + 5m = 45 Add '40' to each side of the equation. -40 + 40 + 5m = 45 + 40 Combine like terms: -40 + 40 = 0 0 + 5m = 45 + 40 5m = 45 + 40 Combine like terms: 45 + 40 = 85 5m = 85 Divide each side by '5'. m = 17 Simplifying m = 17
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