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Simplifying 6(4r + 5) = 6(5r + -5) Reorder the terms: 6(5 + 4r) = 6(5r + -5) (5 * 6 + 4r * 6) = 6(5r + -5) (30 + 24r) = 6(5r + -5) Reorder the terms: 30 + 24r = 6(-5 + 5r) 30 + 24r = (-5 * 6 + 5r * 6) 30 + 24r = (-30 + 30r) Solving 30 + 24r = -30 + 30r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-30r' to each side of the equation. 30 + 24r + -30r = -30 + 30r + -30r Combine like terms: 24r + -30r = -6r 30 + -6r = -30 + 30r + -30r Combine like terms: 30r + -30r = 0 30 + -6r = -30 + 0 30 + -6r = -30 Add '-30' to each side of the equation. 30 + -30 + -6r = -30 + -30 Combine like terms: 30 + -30 = 0 0 + -6r = -30 + -30 -6r = -30 + -30 Combine like terms: -30 + -30 = -60 -6r = -60 Divide each side by '-6'. r = 10 Simplifying r = 10
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