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Simplifying -6(r + 8) = 5r + 29 Reorder the terms: -6(8 + r) = 5r + 29 (8 * -6 + r * -6) = 5r + 29 (-48 + -6r) = 5r + 29 Reorder the terms: -48 + -6r = 29 + 5r Solving -48 + -6r = 29 + 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. -48 + -6r + -5r = 29 + 5r + -5r Combine like terms: -6r + -5r = -11r -48 + -11r = 29 + 5r + -5r Combine like terms: 5r + -5r = 0 -48 + -11r = 29 + 0 -48 + -11r = 29 Add '48' to each side of the equation. -48 + 48 + -11r = 29 + 48 Combine like terms: -48 + 48 = 0 0 + -11r = 29 + 48 -11r = 29 + 48 Combine like terms: 29 + 48 = 77 -11r = 77 Divide each side by '-11'. r = -7 Simplifying r = -7
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