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Simplifying 3(-8 + 6r) = 4r + 32 (-8 * 3 + 6r * 3) = 4r + 32 (-24 + 18r) = 4r + 32 Reorder the terms: -24 + 18r = 32 + 4r Solving -24 + 18r = 32 + 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. -24 + 18r + -4r = 32 + 4r + -4r Combine like terms: 18r + -4r = 14r -24 + 14r = 32 + 4r + -4r Combine like terms: 4r + -4r = 0 -24 + 14r = 32 + 0 -24 + 14r = 32 Add '24' to each side of the equation. -24 + 24 + 14r = 32 + 24 Combine like terms: -24 + 24 = 0 0 + 14r = 32 + 24 14r = 32 + 24 Combine like terms: 32 + 24 = 56 14r = 56 Divide each side by '14'. r = 4 Simplifying r = 4
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