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Simplifying (4r + 7) + (r + -2) = 180 Reorder the terms: (7 + 4r) + (r + -2) = 180 Remove parenthesis around (7 + 4r) 7 + 4r + (r + -2) = 180 Reorder the terms: 7 + 4r + (-2 + r) = 180 Remove parenthesis around (-2 + r) 7 + 4r + -2 + r = 180 Reorder the terms: 7 + -2 + 4r + r = 180 Combine like terms: 7 + -2 = 5 5 + 4r + r = 180 Combine like terms: 4r + r = 5r 5 + 5r = 180 Solving 5 + 5r = 180 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 5r = 180 + -5 Combine like terms: 5 + -5 = 0 0 + 5r = 180 + -5 5r = 180 + -5 Combine like terms: 180 + -5 = 175 5r = 175 Divide each side by '5'. r = 35 Simplifying r = 35
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