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Simplifying 5(m + 9) = -2(m + -5) + 2 Reorder the terms: 5(9 + m) = -2(m + -5) + 2 (9 * 5 + m * 5) = -2(m + -5) + 2 (45 + 5m) = -2(m + -5) + 2 Reorder the terms: 45 + 5m = -2(-5 + m) + 2 45 + 5m = (-5 * -2 + m * -2) + 2 45 + 5m = (10 + -2m) + 2 Reorder the terms: 45 + 5m = 10 + 2 + -2m Combine like terms: 10 + 2 = 12 45 + 5m = 12 + -2m Solving 45 + 5m = 12 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 45 + 5m + 2m = 12 + -2m + 2m Combine like terms: 5m + 2m = 7m 45 + 7m = 12 + -2m + 2m Combine like terms: -2m + 2m = 0 45 + 7m = 12 + 0 45 + 7m = 12 Add '-45' to each side of the equation. 45 + -45 + 7m = 12 + -45 Combine like terms: 45 + -45 = 0 0 + 7m = 12 + -45 7m = 12 + -45 Combine like terms: 12 + -45 = -33 7m = -33 Divide each side by '7'. m = -4.714285714 Simplifying m = -4.714285714
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