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Simplifying -6(5 + -4r) = 30 + 4r (5 * -6 + -4r * -6) = 30 + 4r (-30 + 24r) = 30 + 4r Solving -30 + 24r = 30 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -30 + 24r + -4r = 30 + 4r + -4r Combine like terms: 24r + -4r = 20r -30 + 20r = 30 + 4r + -4r Combine like terms: 4r + -4r = 0 -30 + 20r = 30 + 0 -30 + 20r = 30 Add '30' to each side of the equation. -30 + 30 + 20r = 30 + 30 Combine like terms: -30 + 30 = 0 0 + 20r = 30 + 30 20r = 30 + 30 Combine like terms: 30 + 30 = 60 20r = 60 Divide each side by '20'. r = 3 Simplifying r = 3
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