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Simplifying 6 + -4(r + 8) = -7r + -17 Reorder the terms: 6 + -4(8 + r) = -7r + -17 6 + (8 * -4 + r * -4) = -7r + -17 6 + (-32 + -4r) = -7r + -17 Combine like terms: 6 + -32 = -26 -26 + -4r = -7r + -17 Reorder the terms: -26 + -4r = -17 + -7r Solving -26 + -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. -26 + -4r + 7r = -17 + -7r + 7r Combine like terms: -4r + 7r = 3r -26 + 3r = -17 + -7r + 7r Combine like terms: -7r + 7r = 0 -26 + 3r = -17 + 0 -26 + 3r = -17 Add '26' to each side of the equation. -26 + 26 + 3r = -17 + 26 Combine like terms: -26 + 26 = 0 0 + 3r = -17 + 26 3r = -17 + 26 Combine like terms: -17 + 26 = 9 3r = 9 Divide each side by '3'. r = 3 Simplifying r = 3
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