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Simplifying -291 = 3r + 5(2 + 8r) -291 = 3r + (2 * 5 + 8r * 5) -291 = 3r + (10 + 40r) Reorder the terms: -291 = 10 + 3r + 40r Combine like terms: 3r + 40r = 43r -291 = 10 + 43r Solving -291 = 10 + 43r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-43r' to each side of the equation. -291 + -43r = 10 + 43r + -43r Combine like terms: 43r + -43r = 0 -291 + -43r = 10 + 0 -291 + -43r = 10 Add '291' to each side of the equation. -291 + 291 + -43r = 10 + 291 Combine like terms: -291 + 291 = 0 0 + -43r = 10 + 291 -43r = 10 + 291 Combine like terms: 10 + 291 = 301 -43r = 301 Divide each side by '-43'. r = -7 Simplifying r = -7
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