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Simplifying 4r + -2 + 3r + 8 + 2r + 12 = 180 Reorder the terms: -2 + 8 + 12 + 4r + 3r + 2r = 180 Combine like terms: -2 + 8 = 6 6 + 12 + 4r + 3r + 2r = 180 Combine like terms: 6 + 12 = 18 18 + 4r + 3r + 2r = 180 Combine like terms: 4r + 3r = 7r 18 + 7r + 2r = 180 Combine like terms: 7r + 2r = 9r 18 + 9r = 180 Solving 18 + 9r = 180 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 9r = 180 + -18 Combine like terms: 18 + -18 = 0 0 + 9r = 180 + -18 9r = 180 + -18 Combine like terms: 180 + -18 = 162 9r = 162 Divide each side by '9'. r = 18 Simplifying r = 18
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