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Simplifying 316 = -7r + 4(1 + -8r) 316 = -7r + (1 * 4 + -8r * 4) 316 = -7r + (4 + -32r) Reorder the terms: 316 = 4 + -7r + -32r Combine like terms: -7r + -32r = -39r 316 = 4 + -39r Solving 316 = 4 + -39r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '39r' to each side of the equation. 316 + 39r = 4 + -39r + 39r Combine like terms: -39r + 39r = 0 316 + 39r = 4 + 0 316 + 39r = 4 Add '-316' to each side of the equation. 316 + -316 + 39r = 4 + -316 Combine like terms: 316 + -316 = 0 0 + 39r = 4 + -316 39r = 4 + -316 Combine like terms: 4 + -316 = -312 39r = -312 Divide each side by '39'. r = -8 Simplifying r = -8
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