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Simplifying 5(5 + -1m) = 3(m + 9) (5 * 5 + -1m * 5) = 3(m + 9) (25 + -5m) = 3(m + 9) Reorder the terms: 25 + -5m = 3(9 + m) 25 + -5m = (9 * 3 + m * 3) 25 + -5m = (27 + 3m) Solving 25 + -5m = 27 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 25 + -5m + -3m = 27 + 3m + -3m Combine like terms: -5m + -3m = -8m 25 + -8m = 27 + 3m + -3m Combine like terms: 3m + -3m = 0 25 + -8m = 27 + 0 25 + -8m = 27 Add '-25' to each side of the equation. 25 + -25 + -8m = 27 + -25 Combine like terms: 25 + -25 = 0 0 + -8m = 27 + -25 -8m = 27 + -25 Combine like terms: 27 + -25 = 2 -8m = 2 Divide each side by '-8'. m = -0.25 Simplifying m = -0.25
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