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Simplifying 13 + -4m + -17 = 8m + 14 + -6m Reorder the terms: 13 + -17 + -4m = 8m + 14 + -6m Combine like terms: 13 + -17 = -4 -4 + -4m = 8m + 14 + -6m Reorder the terms: -4 + -4m = 14 + 8m + -6m Combine like terms: 8m + -6m = 2m -4 + -4m = 14 + 2m Solving -4 + -4m = 14 + 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. -4 + -4m + -2m = 14 + 2m + -2m Combine like terms: -4m + -2m = -6m -4 + -6m = 14 + 2m + -2m Combine like terms: 2m + -2m = 0 -4 + -6m = 14 + 0 -4 + -6m = 14 Add '4' to each side of the equation. -4 + 4 + -6m = 14 + 4 Combine like terms: -4 + 4 = 0 0 + -6m = 14 + 4 -6m = 14 + 4 Combine like terms: 14 + 4 = 18 -6m = 18 Divide each side by '-6'. m = -3 Simplifying m = -3
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