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Simplifying 17 + 8 + -12 = 10m + 19 + -9m Combine like terms: 17 + 8 = 25 25 + -12 = 10m + 19 + -9m Combine like terms: 25 + -12 = 13 13 = 10m + 19 + -9m Reorder the terms: 13 = 19 + 10m + -9m Combine like terms: 10m + -9m = 1m 13 = 19 + 1m Solving 13 = 19 + 1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 13 + -1m = 19 + 1m + -1m Combine like terms: 1m + -1m = 0 13 + -1m = 19 + 0 13 + -1m = 19 Add '-13' to each side of the equation. 13 + -13 + -1m = 19 + -13 Combine like terms: 13 + -13 = 0 0 + -1m = 19 + -13 -1m = 19 + -13 Combine like terms: 19 + -13 = 6 -1m = 6 Divide each side by '-1'. m = -6 Simplifying m = -6
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