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Simplifying 5m + 1 = 7m + -7 Reorder the terms: 1 + 5m = 7m + -7 Reorder the terms: 1 + 5m = -7 + 7m Solving 1 + 5m = -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 + 5m + -7m = -7 + 7m + -7m Combine like terms: 5m + -7m = -2m 1 + -2m = -7 + 7m + -7m Combine like terms: 7m + -7m = 0 1 + -2m = -7 + 0 1 + -2m = -7 Add '-1' to each side of the equation. 1 + -1 + -2m = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -2m = -7 + -1 -2m = -7 + -1 Combine like terms: -7 + -1 = -8 -2m = -8 Divide each side by '-2'. m = 4 Simplifying m = 4
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