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Simplifying 5(3r + -5) = 9r + 17 Reorder the terms: 5(-5 + 3r) = 9r + 17 (-5 * 5 + 3r * 5) = 9r + 17 (-25 + 15r) = 9r + 17 Reorder the terms: -25 + 15r = 17 + 9r Solving -25 + 15r = 17 + 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. -25 + 15r + -9r = 17 + 9r + -9r Combine like terms: 15r + -9r = 6r -25 + 6r = 17 + 9r + -9r Combine like terms: 9r + -9r = 0 -25 + 6r = 17 + 0 -25 + 6r = 17 Add '25' to each side of the equation. -25 + 25 + 6r = 17 + 25 Combine like terms: -25 + 25 = 0 0 + 6r = 17 + 25 6r = 17 + 25 Combine like terms: 17 + 25 = 42 6r = 42 Divide each side by '6'. r = 7 Simplifying r = 7
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