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Simplifying 3m + 8 = -4m + 1 Reorder the terms: 8 + 3m = -4m + 1 Reorder the terms: 8 + 3m = 1 + -4m Solving 8 + 3m = 1 + -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. 8 + 3m + 4m = 1 + -4m + 4m Combine like terms: 3m + 4m = 7m 8 + 7m = 1 + -4m + 4m Combine like terms: -4m + 4m = 0 8 + 7m = 1 + 0 8 + 7m = 1 Add '-8' to each side of the equation. 8 + -8 + 7m = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 7m = 1 + -8 7m = 1 + -8 Combine like terms: 1 + -8 = -7 7m = -7 Divide each side by '7'. m = -1 Simplifying m = -1
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