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Simplifying -4 + 9(m + -3) = -8m + -5(-5m + 11) Reorder the terms: -4 + 9(-3 + m) = -8m + -5(-5m + 11) -4 + (-3 * 9 + m * 9) = -8m + -5(-5m + 11) -4 + (-27 + 9m) = -8m + -5(-5m + 11) Combine like terms: -4 + -27 = -31 -31 + 9m = -8m + -5(-5m + 11) Reorder the terms: -31 + 9m = -8m + -5(11 + -5m) -31 + 9m = -8m + (11 * -5 + -5m * -5) -31 + 9m = -8m + (-55 + 25m) Reorder the terms: -31 + 9m = -55 + -8m + 25m Combine like terms: -8m + 25m = 17m -31 + 9m = -55 + 17m Solving -31 + 9m = -55 + 17m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-17m' to each side of the equation. -31 + 9m + -17m = -55 + 17m + -17m Combine like terms: 9m + -17m = -8m -31 + -8m = -55 + 17m + -17m Combine like terms: 17m + -17m = 0 -31 + -8m = -55 + 0 -31 + -8m = -55 Add '31' to each side of the equation. -31 + 31 + -8m = -55 + 31 Combine like terms: -31 + 31 = 0 0 + -8m = -55 + 31 -8m = -55 + 31 Combine like terms: -55 + 31 = -24 -8m = -24 Divide each side by '-8'. m = 3 Simplifying m = 3
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