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Simplifying 3m + 1 = 7m + -7 Reorder the terms: 1 + 3m = 7m + -7 Reorder the terms: 1 + 3m = -7 + 7m Solving 1 + 3m = -7 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 1 + 3m + -7m = -7 + 7m + -7m Combine like terms: 3m + -7m = -4m 1 + -4m = -7 + 7m + -7m Combine like terms: 7m + -7m = 0 1 + -4m = -7 + 0 1 + -4m = -7 Add '-1' to each side of the equation. 1 + -1 + -4m = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -4m = -7 + -1 -4m = -7 + -1 Combine like terms: -7 + -1 = -8 -4m = -8 Divide each side by '-4'. m = 2 Simplifying m = 2
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