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