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Simplifying r + 2 + 5(r + -3) = 17 Reorder the terms: r + 2 + 5(-3 + r) = 17 r + 2 + (-3 * 5 + r * 5) = 17 r + 2 + (-15 + 5r) = 17 Reorder the terms: 2 + -15 + r + 5r = 17 Combine like terms: 2 + -15 = -13 -13 + r + 5r = 17 Combine like terms: r + 5r = 6r -13 + 6r = 17 Solving -13 + 6r = 17 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 6r = 17 + 13 Combine like terms: -13 + 13 = 0 0 + 6r = 17 + 13 6r = 17 + 13 Combine like terms: 17 + 13 = 30 6r = 30 Divide each side by '6'. r = 5 Simplifying r = 5
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