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Simplifying 4(9r + 8) = -17 + 3r Reorder the terms: 4(8 + 9r) = -17 + 3r (8 * 4 + 9r * 4) = -17 + 3r (32 + 36r) = -17 + 3r Solving 32 + 36r = -17 + 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. 32 + 36r + -3r = -17 + 3r + -3r Combine like terms: 36r + -3r = 33r 32 + 33r = -17 + 3r + -3r Combine like terms: 3r + -3r = 0 32 + 33r = -17 + 0 32 + 33r = -17 Add '-32' to each side of the equation. 32 + -32 + 33r = -17 + -32 Combine like terms: 32 + -32 = 0 0 + 33r = -17 + -32 33r = -17 + -32 Combine like terms: -17 + -32 = -49 33r = -49 Divide each side by '33'. r = -1.484848485 Simplifying r = -1.484848485
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