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Simplifying (5r) + (3r + -3) + (r + -6) = 180 Reorder the terms: (5r) + (-3 + 3r) + (r + -6) = 180 Remove parenthesis around (-3 + 3r) (5r) + -3 + 3r + (r + -6) = 180 Reorder the terms: (5r) + -3 + 3r + (-6 + r) = 180 Remove parenthesis around (-6 + r) (5r) + -3 + 3r + -6 + r = 180 Reorder the terms: -3 + -6 + (5r) + 3r + r = 180 Combine like terms: -3 + -6 = -9 -9 + (5r) + 3r + r = 180 Combine like terms: (5r) + 3r = 8r -9 + 8r + r = 180 Combine like terms: 8r + r = 9r -9 + 9r = 180 Solving -9 + 9r = 180 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 9r = 180 + 9 Combine like terms: -9 + 9 = 0 0 + 9r = 180 + 9 9r = 180 + 9 Combine like terms: 180 + 9 = 189 9r = 189 Divide each side by '9'. r = 21 Simplifying r = 21
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