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Simplifying 3(r + 5) = 2r + 35 Reorder the terms: 3(5 + r) = 2r + 35 (5 * 3 + r * 3) = 2r + 35 (15 + 3r) = 2r + 35 Reorder the terms: 15 + 3r = 35 + 2r Solving 15 + 3r = 35 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 15 + 3r + -2r = 35 + 2r + -2r Combine like terms: 3r + -2r = 1r 15 + 1r = 35 + 2r + -2r Combine like terms: 2r + -2r = 0 15 + 1r = 35 + 0 15 + 1r = 35 Add '-15' to each side of the equation. 15 + -15 + 1r = 35 + -15 Combine like terms: 15 + -15 = 0 0 + 1r = 35 + -15 1r = 35 + -15 Combine like terms: 35 + -15 = 20 1r = 20 Divide each side by '1'. r = 20 Simplifying r = 20
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