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Simplifying -24 + 4r = -8 + 4(8 + -5r) -24 + 4r = -8 + (8 * 4 + -5r * 4) -24 + 4r = -8 + (32 + -20r) Combine like terms: -8 + 32 = 24 -24 + 4r = 24 + -20r Solving -24 + 4r = 24 + -20r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '20r' to each side of the equation. -24 + 4r + 20r = 24 + -20r + 20r Combine like terms: 4r + 20r = 24r -24 + 24r = 24 + -20r + 20r Combine like terms: -20r + 20r = 0 -24 + 24r = 24 + 0 -24 + 24r = 24 Add '24' to each side of the equation. -24 + 24 + 24r = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 24r = 24 + 24 24r = 24 + 24 Combine like terms: 24 + 24 = 48 24r = 48 Divide each side by '24'. r = 2 Simplifying r = 2
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