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Simplifying 5m + 9 = 4(m + -5) + 7 Reorder the terms: 9 + 5m = 4(m + -5) + 7 Reorder the terms: 9 + 5m = 4(-5 + m) + 7 9 + 5m = (-5 * 4 + m * 4) + 7 9 + 5m = (-20 + 4m) + 7 Reorder the terms: 9 + 5m = -20 + 7 + 4m Combine like terms: -20 + 7 = -13 9 + 5m = -13 + 4m Solving 9 + 5m = -13 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 9 + 5m + -4m = -13 + 4m + -4m Combine like terms: 5m + -4m = 1m 9 + 1m = -13 + 4m + -4m Combine like terms: 4m + -4m = 0 9 + 1m = -13 + 0 9 + 1m = -13 Add '-9' to each side of the equation. 9 + -9 + 1m = -13 + -9 Combine like terms: 9 + -9 = 0 0 + 1m = -13 + -9 1m = -13 + -9 Combine like terms: -13 + -9 = -22 1m = -22 Divide each side by '1'. m = -22 Simplifying m = -22
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