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Simplifying 5(r + -3) + 2(r + -5) = 17 Reorder the terms: 5(-3 + r) + 2(r + -5) = 17 (-3 * 5 + r * 5) + 2(r + -5) = 17 (-15 + 5r) + 2(r + -5) = 17 Reorder the terms: -15 + 5r + 2(-5 + r) = 17 -15 + 5r + (-5 * 2 + r * 2) = 17 -15 + 5r + (-10 + 2r) = 17 Reorder the terms: -15 + -10 + 5r + 2r = 17 Combine like terms: -15 + -10 = -25 -25 + 5r + 2r = 17 Combine like terms: 5r + 2r = 7r -25 + 7r = 17 Solving -25 + 7r = 17 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 7r = 17 + 25 Combine like terms: -25 + 25 = 0 0 + 7r = 17 + 25 7r = 17 + 25 Combine like terms: 17 + 25 = 42 7r = 42 Divide each side by '7'. r = 6 Simplifying r = 6
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