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Simplifying -8(6 + 7r) + 5r = 38 + -8r (6 * -8 + 7r * -8) + 5r = 38 + -8r (-48 + -56r) + 5r = 38 + -8r Combine like terms: -56r + 5r = -51r -48 + -51r = 38 + -8r Solving -48 + -51r = 38 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. -48 + -51r + 8r = 38 + -8r + 8r Combine like terms: -51r + 8r = -43r -48 + -43r = 38 + -8r + 8r Combine like terms: -8r + 8r = 0 -48 + -43r = 38 + 0 -48 + -43r = 38 Add '48' to each side of the equation. -48 + 48 + -43r = 38 + 48 Combine like terms: -48 + 48 = 0 0 + -43r = 38 + 48 -43r = 38 + 48 Combine like terms: 38 + 48 = 86 -43r = 86 Divide each side by '-43'. r = -2 Simplifying r = -2
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