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Simplifying -7(2r + -1) + 3(8 + -1r) = 0 Reorder the terms: -7(-1 + 2r) + 3(8 + -1r) = 0 (-1 * -7 + 2r * -7) + 3(8 + -1r) = 0 (7 + -14r) + 3(8 + -1r) = 0 7 + -14r + (8 * 3 + -1r * 3) = 0 7 + -14r + (24 + -3r) = 0 Reorder the terms: 7 + 24 + -14r + -3r = 0 Combine like terms: 7 + 24 = 31 31 + -14r + -3r = 0 Combine like terms: -14r + -3r = -17r 31 + -17r = 0 Solving 31 + -17r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -17r = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -17r = 0 + -31 -17r = 0 + -31 Combine like terms: 0 + -31 = -31 -17r = -31 Divide each side by '-17'. r = 1.823529412 Simplifying r = 1.823529412
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