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Simplifying 125 = (4r + 2) + (5r + -12) Reorder the terms: 125 = (2 + 4r) + (5r + -12) Remove parenthesis around (2 + 4r) 125 = 2 + 4r + (5r + -12) Reorder the terms: 125 = 2 + 4r + (-12 + 5r) Remove parenthesis around (-12 + 5r) 125 = 2 + 4r + -12 + 5r Reorder the terms: 125 = 2 + -12 + 4r + 5r Combine like terms: 2 + -12 = -10 125 = -10 + 4r + 5r Combine like terms: 4r + 5r = 9r 125 = -10 + 9r Solving 125 = -10 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. 125 + -9r = -10 + 9r + -9r Combine like terms: 9r + -9r = 0 125 + -9r = -10 + 0 125 + -9r = -10 Add '-125' to each side of the equation. 125 + -125 + -9r = -10 + -125 Combine like terms: 125 + -125 = 0 0 + -9r = -10 + -125 -9r = -10 + -125 Combine like terms: -10 + -125 = -135 -9r = -135 Divide each side by '-9'. r = 15 Simplifying r = 15
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