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Simplifying 5r = 3(7 + 8r) + -2 5r = (7 * 3 + 8r * 3) + -2 5r = (21 + 24r) + -2 Reorder the terms: 5r = 21 + -2 + 24r Combine like terms: 21 + -2 = 19 5r = 19 + 24r Solving 5r = 19 + 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. 5r + -24r = 19 + 24r + -24r Combine like terms: 5r + -24r = -19r -19r = 19 + 24r + -24r Combine like terms: 24r + -24r = 0 -19r = 19 + 0 -19r = 19 Divide each side by '-19'. r = -1 Simplifying r = -1
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