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Simplifying 14 + -5m + 4 = 3 + 3m + -17 Reorder the terms: 14 + 4 + -5m = 3 + 3m + -17 Combine like terms: 14 + 4 = 18 18 + -5m = 3 + 3m + -17 Reorder the terms: 18 + -5m = 3 + -17 + 3m Combine like terms: 3 + -17 = -14 18 + -5m = -14 + 3m Solving 18 + -5m = -14 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 18 + -5m + -3m = -14 + 3m + -3m Combine like terms: -5m + -3m = -8m 18 + -8m = -14 + 3m + -3m Combine like terms: 3m + -3m = 0 18 + -8m = -14 + 0 18 + -8m = -14 Add '-18' to each side of the equation. 18 + -18 + -8m = -14 + -18 Combine like terms: 18 + -18 = 0 0 + -8m = -14 + -18 -8m = -14 + -18 Combine like terms: -14 + -18 = -32 -8m = -32 Divide each side by '-8'. m = 4 Simplifying m = 4
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