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Simplifying 6 + 5m = 7 + -8 + 5m + 7m Combine like terms: 7 + -8 = -1 6 + 5m = -1 + 5m + 7m Combine like terms: 5m + 7m = 12m 6 + 5m = -1 + 12m Solving 6 + 5m = -1 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 6 + 5m + -12m = -1 + 12m + -12m Combine like terms: 5m + -12m = -7m 6 + -7m = -1 + 12m + -12m Combine like terms: 12m + -12m = 0 6 + -7m = -1 + 0 6 + -7m = -1 Add '-6' to each side of the equation. 6 + -6 + -7m = -1 + -6 Combine like terms: 6 + -6 = 0 0 + -7m = -1 + -6 -7m = -1 + -6 Combine like terms: -1 + -6 = -7 -7m = -7 Divide each side by '-7'. m = 1 Simplifying m = 1
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