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Simplifying 4(r + -8) = 7r + -17 Reorder the terms: 4(-8 + r) = 7r + -17 (-8 * 4 + r * 4) = 7r + -17 (-32 + 4r) = 7r + -17 Reorder the terms: -32 + 4r = -17 + 7r Solving -32 + 4r = -17 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -32 + 4r + -7r = -17 + 7r + -7r Combine like terms: 4r + -7r = -3r -32 + -3r = -17 + 7r + -7r Combine like terms: 7r + -7r = 0 -32 + -3r = -17 + 0 -32 + -3r = -17 Add '32' to each side of the equation. -32 + 32 + -3r = -17 + 32 Combine like terms: -32 + 32 = 0 0 + -3r = -17 + 32 -3r = -17 + 32 Combine like terms: -17 + 32 = 15 -3r = 15 Divide each side by '-3'. r = -5 Simplifying r = -5
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