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Simplifying 5m + 9 = 7m + -21 Reorder the terms: 9 + 5m = 7m + -21 Reorder the terms: 9 + 5m = -21 + 7m Solving 9 + 5m = -21 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 9 + 5m + -7m = -21 + 7m + -7m Combine like terms: 5m + -7m = -2m 9 + -2m = -21 + 7m + -7m Combine like terms: 7m + -7m = 0 9 + -2m = -21 + 0 9 + -2m = -21 Add '-9' to each side of the equation. 9 + -9 + -2m = -21 + -9 Combine like terms: 9 + -9 = 0 0 + -2m = -21 + -9 -2m = -21 + -9 Combine like terms: -21 + -9 = -30 -2m = -30 Divide each side by '-2'. m = 15 Simplifying m = 15
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