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Simplifying 6m + (3m + 7) = 8m + 28 Reorder the terms: 6m + (7 + 3m) = 8m + 28 Remove parenthesis around (7 + 3m) 6m + 7 + 3m = 8m + 28 Reorder the terms: 7 + 6m + 3m = 8m + 28 Combine like terms: 6m + 3m = 9m 7 + 9m = 8m + 28 Reorder the terms: 7 + 9m = 28 + 8m Solving 7 + 9m = 28 + 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 + 9m + -8m = 28 + 8m + -8m Combine like terms: 9m + -8m = 1m 7 + 1m = 28 + 8m + -8m Combine like terms: 8m + -8m = 0 7 + 1m = 28 + 0 7 + 1m = 28 Add '-7' to each side of the equation. 7 + -7 + 1m = 28 + -7 Combine like terms: 7 + -7 = 0 0 + 1m = 28 + -7 1m = 28 + -7 Combine like terms: 28 + -7 = 21 1m = 21 Divide each side by '1'. m = 21 Simplifying m = 21
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