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Simplifying 3[2r + 8] = 4[3r + -9] Reorder the terms: 3[8 + 2r] = 4[3r + -9] [8 * 3 + 2r * 3] = 4[3r + -9] [24 + 6r] = 4[3r + -9] Reorder the terms: 24 + 6r = 4[-9 + 3r] 24 + 6r = [-9 * 4 + 3r * 4] 24 + 6r = [-36 + 12r] Solving 24 + 6r = -36 + 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 = -36 + 12r + -12r Combine like terms: 6r + -12r = -6r 24 + -6r = -36 + 12r + -12r Combine like terms: 12r + -12r = 0 24 + -6r = -36 + 0 24 + -6r = -36 Add '-24' to each side of the equation. 24 + -24 + -6r = -36 + -24 Combine like terms: 24 + -24 = 0 0 + -6r = -36 + -24 -6r = -36 + -24 Combine like terms: -36 + -24 = -60 -6r = -60 Divide each side by '-6'. r = 10 Simplifying r = 10
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