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Simplifying 6(m + 1) + 1 = 2m + -1 + 6m Reorder the terms: 6(1 + m) + 1 = 2m + -1 + 6m (1 * 6 + m * 6) + 1 = 2m + -1 + 6m (6 + 6m) + 1 = 2m + -1 + 6m Reorder the terms: 6 + 1 + 6m = 2m + -1 + 6m Combine like terms: 6 + 1 = 7 7 + 6m = 2m + -1 + 6m Reorder the terms: 7 + 6m = -1 + 2m + 6m Combine like terms: 2m + 6m = 8m 7 + 6m = -1 + 8m Solving 7 + 6m = -1 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 7 + 6m + -8m = -1 + 8m + -8m Combine like terms: 6m + -8m = -2m 7 + -2m = -1 + 8m + -8m Combine like terms: 8m + -8m = 0 7 + -2m = -1 + 0 7 + -2m = -1 Add '-7' to each side of the equation. 7 + -7 + -2m = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -2m = -1 + -7 -2m = -1 + -7 Combine like terms: -1 + -7 = -8 -2m = -8 Divide each side by '-2'. m = 4 Simplifying m = 4
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