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Simplifying 8r + -5(6 + -7r) = 18 + -5r 8r + (6 * -5 + -7r * -5) = 18 + -5r 8r + (-30 + 35r) = 18 + -5r Reorder the terms: -30 + 8r + 35r = 18 + -5r Combine like terms: 8r + 35r = 43r -30 + 43r = 18 + -5r Solving -30 + 43r = 18 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. -30 + 43r + 5r = 18 + -5r + 5r Combine like terms: 43r + 5r = 48r -30 + 48r = 18 + -5r + 5r Combine like terms: -5r + 5r = 0 -30 + 48r = 18 + 0 -30 + 48r = 18 Add '30' to each side of the equation. -30 + 30 + 48r = 18 + 30 Combine like terms: -30 + 30 = 0 0 + 48r = 18 + 30 48r = 18 + 30 Combine like terms: 18 + 30 = 48 48r = 48 Divide each side by '48'. r = 1 Simplifying r = 1
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