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Simplifying m + 9(m + 5) = 4(1 + 9m) + -11 Reorder the terms: m + 9(5 + m) = 4(1 + 9m) + -11 m + (5 * 9 + m * 9) = 4(1 + 9m) + -11 m + (45 + 9m) = 4(1 + 9m) + -11 Reorder the terms: 45 + m + 9m = 4(1 + 9m) + -11 Combine like terms: m + 9m = 10m 45 + 10m = 4(1 + 9m) + -11 45 + 10m = (1 * 4 + 9m * 4) + -11 45 + 10m = (4 + 36m) + -11 Reorder the terms: 45 + 10m = 4 + -11 + 36m Combine like terms: 4 + -11 = -7 45 + 10m = -7 + 36m Solving 45 + 10m = -7 + 36m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-36m' to each side of the equation. 45 + 10m + -36m = -7 + 36m + -36m Combine like terms: 10m + -36m = -26m 45 + -26m = -7 + 36m + -36m Combine like terms: 36m + -36m = 0 45 + -26m = -7 + 0 45 + -26m = -7 Add '-45' to each side of the equation. 45 + -45 + -26m = -7 + -45 Combine like terms: 45 + -45 = 0 0 + -26m = -7 + -45 -26m = -7 + -45 Combine like terms: -7 + -45 = -52 -26m = -52 Divide each side by '-26'. m = 2 Simplifying m = 2
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