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Simplifying 6 + 5m = -7m + -2(1 + -7m) 6 + 5m = -7m + (1 * -2 + -7m * -2) 6 + 5m = -7m + (-2 + 14m) Reorder the terms: 6 + 5m = -2 + -7m + 14m Combine like terms: -7m + 14m = 7m 6 + 5m = -2 + 7m Solving 6 + 5m = -2 + 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. 6 + 5m + -7m = -2 + 7m + -7m Combine like terms: 5m + -7m = -2m 6 + -2m = -2 + 7m + -7m Combine like terms: 7m + -7m = 0 6 + -2m = -2 + 0 6 + -2m = -2 Add '-6' to each side of the equation. 6 + -6 + -2m = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -2m = -2 + -6 -2m = -2 + -6 Combine like terms: -2 + -6 = -8 -2m = -8 Divide each side by '-2'. m = 4 Simplifying m = 4
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