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Simplifying 4 + 3m + -3 = 8m + 17 + -3m Reorder the terms: 4 + -3 + 3m = 8m + 17 + -3m Combine like terms: 4 + -3 = 1 1 + 3m = 8m + 17 + -3m Reorder the terms: 1 + 3m = 17 + 8m + -3m Combine like terms: 8m + -3m = 5m 1 + 3m = 17 + 5m Solving 1 + 3m = 17 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 1 + 3m + -5m = 17 + 5m + -5m Combine like terms: 3m + -5m = -2m 1 + -2m = 17 + 5m + -5m Combine like terms: 5m + -5m = 0 1 + -2m = 17 + 0 1 + -2m = 17 Add '-1' to each side of the equation. 1 + -1 + -2m = 17 + -1 Combine like terms: 1 + -1 = 0 0 + -2m = 17 + -1 -2m = 17 + -1 Combine like terms: 17 + -1 = 16 -2m = 16 Divide each side by '-2'. m = -8 Simplifying m = -8
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