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Simplifying -17 + -4r = 4(-8r + 1) + 7 Reorder the terms: -17 + -4r = 4(1 + -8r) + 7 -17 + -4r = (1 * 4 + -8r * 4) + 7 -17 + -4r = (4 + -32r) + 7 Reorder the terms: -17 + -4r = 4 + 7 + -32r Combine like terms: 4 + 7 = 11 -17 + -4r = 11 + -32r Solving -17 + -4r = 11 + -32r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '32r' to each side of the equation. -17 + -4r + 32r = 11 + -32r + 32r Combine like terms: -4r + 32r = 28r -17 + 28r = 11 + -32r + 32r Combine like terms: -32r + 32r = 0 -17 + 28r = 11 + 0 -17 + 28r = 11 Add '17' to each side of the equation. -17 + 17 + 28r = 11 + 17 Combine like terms: -17 + 17 = 0 0 + 28r = 11 + 17 28r = 11 + 17 Combine like terms: 11 + 17 = 28 28r = 28 Divide each side by '28'. r = 1 Simplifying r = 1
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