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