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Simplifying 4(3r + -6) = 24 + 4r Reorder the terms: 4(-6 + 3r) = 24 + 4r (-6 * 4 + 3r * 4) = 24 + 4r (-24 + 12r) = 24 + 4r Solving -24 + 12r = 24 + 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 + 12r + -4r = 24 + 4r + -4r Combine like terms: 12r + -4r = 8r -24 + 8r = 24 + 4r + -4r Combine like terms: 4r + -4r = 0 -24 + 8r = 24 + 0 -24 + 8r = 24 Add '24' to each side of the equation. -24 + 24 + 8r = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 8r = 24 + 24 8r = 24 + 24 Combine like terms: 24 + 24 = 48 8r = 48 Divide each side by '8'. r = 6 Simplifying r = 6
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