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Simplifying -5 = 3(r + 15) + -17 Reorder the terms: -5 = 3(15 + r) + -17 -5 = (15 * 3 + r * 3) + -17 -5 = (45 + 3r) + -17 Reorder the terms: -5 = 45 + -17 + 3r Combine like terms: 45 + -17 = 28 -5 = 28 + 3r Solving -5 = 28 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -5 + -3r = 28 + 3r + -3r Combine like terms: 3r + -3r = 0 -5 + -3r = 28 + 0 -5 + -3r = 28 Add '5' to each side of the equation. -5 + 5 + -3r = 28 + 5 Combine like terms: -5 + 5 = 0 0 + -3r = 28 + 5 -3r = 28 + 5 Combine like terms: 28 + 5 = 33 -3r = 33 Divide each side by '-3'. r = -11 Simplifying r = -11
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