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