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Simplifying -5(m + -9) = 27 + -1m Reorder the terms: -5(-9 + m) = 27 + -1m (-9 * -5 + m * -5) = 27 + -1m (45 + -5m) = 27 + -1m Solving 45 + -5m = 27 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 45 + -5m + m = 27 + -1m + m Combine like terms: -5m + m = -4m 45 + -4m = 27 + -1m + m Combine like terms: -1m + m = 0 45 + -4m = 27 + 0 45 + -4m = 27 Add '-45' to each side of the equation. 45 + -45 + -4m = 27 + -45 Combine like terms: 45 + -45 = 0 0 + -4m = 27 + -45 -4m = 27 + -45 Combine like terms: 27 + -45 = -18 -4m = -18 Divide each side by '-4'. m = 4.5 Simplifying m = 4.5
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