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Simplifying 7m + 17 = 10m + -10 Reorder the terms: 17 + 7m = 10m + -10 Reorder the terms: 17 + 7m = -10 + 10m Solving 17 + 7m = -10 + 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. 17 + 7m + -10m = -10 + 10m + -10m Combine like terms: 7m + -10m = -3m 17 + -3m = -10 + 10m + -10m Combine like terms: 10m + -10m = 0 17 + -3m = -10 + 0 17 + -3m = -10 Add '-17' to each side of the equation. 17 + -17 + -3m = -10 + -17 Combine like terms: 17 + -17 = 0 0 + -3m = -10 + -17 -3m = -10 + -17 Combine like terms: -10 + -17 = -27 -3m = -27 Divide each side by '-3'. m = 9 Simplifying m = 9
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