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Simplifying 14 + -8m + -17 = 7m + 17 + -5 Reorder the terms: 14 + -17 + -8m = 7m + 17 + -5 Combine like terms: 14 + -17 = -3 -3 + -8m = 7m + 17 + -5 Reorder the terms: -3 + -8m = 17 + -5 + 7m Combine like terms: 17 + -5 = 12 -3 + -8m = 12 + 7m Solving -3 + -8m = 12 + 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. -3 + -8m + -7m = 12 + 7m + -7m Combine like terms: -8m + -7m = -15m -3 + -15m = 12 + 7m + -7m Combine like terms: 7m + -7m = 0 -3 + -15m = 12 + 0 -3 + -15m = 12 Add '3' to each side of the equation. -3 + 3 + -15m = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -15m = 12 + 3 -15m = 12 + 3 Combine like terms: 12 + 3 = 15 -15m = 15 Divide each side by '-15'. m = -1 Simplifying m = -1
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