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Simplifying 4 + 3m = 7m + -8 + 3m + -9 Reorder the terms: 4 + 3m = -8 + -9 + 7m + 3m Combine like terms: -8 + -9 = -17 4 + 3m = -17 + 7m + 3m Combine like terms: 7m + 3m = 10m 4 + 3m = -17 + 10m Solving 4 + 3m = -17 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. 4 + 3m + -10m = -17 + 10m + -10m Combine like terms: 3m + -10m = -7m 4 + -7m = -17 + 10m + -10m Combine like terms: 10m + -10m = 0 4 + -7m = -17 + 0 4 + -7m = -17 Add '-4' to each side of the equation. 4 + -4 + -7m = -17 + -4 Combine like terms: 4 + -4 = 0 0 + -7m = -17 + -4 -7m = -17 + -4 Combine like terms: -17 + -4 = -21 -7m = -21 Divide each side by '-7'. m = 3 Simplifying m = 3
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