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Simplifying 6(m + 7) + 7 = 35 + 8m Reorder the terms: 6(7 + m) + 7 = 35 + 8m (7 * 6 + m * 6) + 7 = 35 + 8m (42 + 6m) + 7 = 35 + 8m Reorder the terms: 42 + 7 + 6m = 35 + 8m Combine like terms: 42 + 7 = 49 49 + 6m = 35 + 8m Solving 49 + 6m = 35 + 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. 49 + 6m + -8m = 35 + 8m + -8m Combine like terms: 6m + -8m = -2m 49 + -2m = 35 + 8m + -8m Combine like terms: 8m + -8m = 0 49 + -2m = 35 + 0 49 + -2m = 35 Add '-49' to each side of the equation. 49 + -49 + -2m = 35 + -49 Combine like terms: 49 + -49 = 0 0 + -2m = 35 + -49 -2m = 35 + -49 Combine like terms: 35 + -49 = -14 -2m = -14 Divide each side by '-2'. m = 7 Simplifying m = 7
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