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Simplifying 6(5 + -4r) = 6(4 + -5r) (5 * 6 + -4r * 6) = 6(4 + -5r) (30 + -24r) = 6(4 + -5r) 30 + -24r = (4 * 6 + -5r * 6) 30 + -24r = (24 + -30r) Solving 30 + -24r = 24 + -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 = 24 + -30r + 30r Combine like terms: -24r + 30r = 6r 30 + 6r = 24 + -30r + 30r Combine like terms: -30r + 30r = 0 30 + 6r = 24 + 0 30 + 6r = 24 Add '-30' to each side of the equation. 30 + -30 + 6r = 24 + -30 Combine like terms: 30 + -30 = 0 0 + 6r = 24 + -30 6r = 24 + -30 Combine like terms: 24 + -30 = -6 6r = -6 Divide each side by '6'. r = -1 Simplifying r = -1
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