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