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Simplifying 6(3r + -8) = 24 + -6r Reorder the terms: 6(-8 + 3r) = 24 + -6r (-8 * 6 + 3r * 6) = 24 + -6r (-48 + 18r) = 24 + -6r Solving -48 + 18r = 24 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. -48 + 18r + 6r = 24 + -6r + 6r Combine like terms: 18r + 6r = 24r -48 + 24r = 24 + -6r + 6r Combine like terms: -6r + 6r = 0 -48 + 24r = 24 + 0 -48 + 24r = 24 Add '48' to each side of the equation. -48 + 48 + 24r = 24 + 48 Combine like terms: -48 + 48 = 0 0 + 24r = 24 + 48 24r = 24 + 48 Combine like terms: 24 + 48 = 72 24r = 72 Divide each side by '24'. r = 3 Simplifying r = 3
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