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Simplifying 17 + 7r = 3(5 + 3r) 17 + 7r = (5 * 3 + 3r * 3) 17 + 7r = (15 + 9r) Solving 17 + 7r = 15 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. 17 + 7r + -9r = 15 + 9r + -9r Combine like terms: 7r + -9r = -2r 17 + -2r = 15 + 9r + -9r Combine like terms: 9r + -9r = 0 17 + -2r = 15 + 0 17 + -2r = 15 Add '-17' to each side of the equation. 17 + -17 + -2r = 15 + -17 Combine like terms: 17 + -17 = 0 0 + -2r = 15 + -17 -2r = 15 + -17 Combine like terms: 15 + -17 = -2 -2r = -2 Divide each side by '-2'. r = 1 Simplifying r = 1
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