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Simplifying 3(2r + 8) = 4(3r + -6) Reorder the terms: 3(8 + 2r) = 4(3r + -6) (8 * 3 + 2r * 3) = 4(3r + -6) (24 + 6r) = 4(3r + -6) Reorder the terms: 24 + 6r = 4(-6 + 3r) 24 + 6r = (-6 * 4 + 3r * 4) 24 + 6r = (-24 + 12r) Solving 24 + 6r = -24 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. 24 + 6r + -12r = -24 + 12r + -12r Combine like terms: 6r + -12r = -6r 24 + -6r = -24 + 12r + -12r Combine like terms: 12r + -12r = 0 24 + -6r = -24 + 0 24 + -6r = -24 Add '-24' to each side of the equation. 24 + -24 + -6r = -24 + -24 Combine like terms: 24 + -24 = 0 0 + -6r = -24 + -24 -6r = -24 + -24 Combine like terms: -24 + -24 = -48 -6r = -48 Divide each side by '-6'. r = 8 Simplifying r = 8
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