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