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Simplifying -17 + -2r = 3(r + 1) Reorder the terms: -17 + -2r = 3(1 + r) -17 + -2r = (1 * 3 + r * 3) -17 + -2r = (3 + 3r) Solving -17 + -2r = 3 + 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. -17 + -2r + -3r = 3 + 3r + -3r Combine like terms: -2r + -3r = -5r -17 + -5r = 3 + 3r + -3r Combine like terms: 3r + -3r = 0 -17 + -5r = 3 + 0 -17 + -5r = 3 Add '17' to each side of the equation. -17 + 17 + -5r = 3 + 17 Combine like terms: -17 + 17 = 0 0 + -5r = 3 + 17 -5r = 3 + 17 Combine like terms: 3 + 17 = 20 -5r = 20 Divide each side by '-5'. r = -4 Simplifying r = -4
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