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Simplifying 119(m + 5) = 17(m + 83) Reorder the terms: 119(5 + m) = 17(m + 83) (5 * 119 + m * 119) = 17(m + 83) (595 + 119m) = 17(m + 83) Reorder the terms: 595 + 119m = 17(83 + m) 595 + 119m = (83 * 17 + m * 17) 595 + 119m = (1411 + 17m) Solving 595 + 119m = 1411 + 17m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-17m' to each side of the equation. 595 + 119m + -17m = 1411 + 17m + -17m Combine like terms: 119m + -17m = 102m 595 + 102m = 1411 + 17m + -17m Combine like terms: 17m + -17m = 0 595 + 102m = 1411 + 0 595 + 102m = 1411 Add '-595' to each side of the equation. 595 + -595 + 102m = 1411 + -595 Combine like terms: 595 + -595 = 0 0 + 102m = 1411 + -595 102m = 1411 + -595 Combine like terms: 1411 + -595 = 816 102m = 816 Divide each side by '102'. m = 8 Simplifying m = 8
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