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Simplifying 14 + -8m + -17 = 7m + 17 + -5m Reorder the terms: 14 + -17 + -8m = 7m + 17 + -5m Combine like terms: 14 + -17 = -3 -3 + -8m = 7m + 17 + -5m Reorder the terms: -3 + -8m = 17 + 7m + -5m Combine like terms: 7m + -5m = 2m -3 + -8m = 17 + 2m Solving -3 + -8m = 17 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -3 + -8m + -2m = 17 + 2m + -2m Combine like terms: -8m + -2m = -10m -3 + -10m = 17 + 2m + -2m Combine like terms: 2m + -2m = 0 -3 + -10m = 17 + 0 -3 + -10m = 17 Add '3' to each side of the equation. -3 + 3 + -10m = 17 + 3 Combine like terms: -3 + 3 = 0 0 + -10m = 17 + 3 -10m = 17 + 3 Combine like terms: 17 + 3 = 20 -10m = 20 Divide each side by '-10'. m = -2 Simplifying m = -2
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