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Simplifying 1r + 10 + 1r + 2(r + 10) = 130 Reorder the terms: 1r + 10 + 1r + 2(10 + r) = 130 1r + 10 + 1r + (10 * 2 + r * 2) = 130 1r + 10 + 1r + (20 + 2r) = 130 Reorder the terms: 10 + 20 + 1r + 1r + 2r = 130 Combine like terms: 10 + 20 = 30 30 + 1r + 1r + 2r = 130 Combine like terms: 1r + 1r = 2r 30 + 2r + 2r = 130 Combine like terms: 2r + 2r = 4r 30 + 4r = 130 Solving 30 + 4r = 130 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 4r = 130 + -30 Combine like terms: 30 + -30 = 0 0 + 4r = 130 + -30 4r = 130 + -30 Combine like terms: 130 + -30 = 100 4r = 100 Divide each side by '4'. r = 25 Simplifying r = 25
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