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Simplifying 233 = r + -5(1 + 7r) 233 = r + (1 * -5 + 7r * -5) 233 = r + (-5 + -35r) Reorder the terms: 233 = -5 + r + -35r Combine like terms: r + -35r = -34r 233 = -5 + -34r Solving 233 = -5 + -34r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '34r' to each side of the equation. 233 + 34r = -5 + -34r + 34r Combine like terms: -34r + 34r = 0 233 + 34r = -5 + 0 233 + 34r = -5 Add '-233' to each side of the equation. 233 + -233 + 34r = -5 + -233 Combine like terms: 233 + -233 = 0 0 + 34r = -5 + -233 34r = -5 + -233 Combine like terms: -5 + -233 = -238 34r = -238 Divide each side by '34'. r = -7 Simplifying r = -7
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