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Simplifying 24 + 6r = 2(6r + 8) + -5r Reorder the terms: 24 + 6r = 2(8 + 6r) + -5r 24 + 6r = (8 * 2 + 6r * 2) + -5r 24 + 6r = (16 + 12r) + -5r Combine like terms: 12r + -5r = 7r 24 + 6r = 16 + 7r Solving 24 + 6r = 16 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 24 + 6r + -7r = 16 + 7r + -7r Combine like terms: 6r + -7r = -1r 24 + -1r = 16 + 7r + -7r Combine like terms: 7r + -7r = 0 24 + -1r = 16 + 0 24 + -1r = 16 Add '-24' to each side of the equation. 24 + -24 + -1r = 16 + -24 Combine like terms: 24 + -24 = 0 0 + -1r = 16 + -24 -1r = 16 + -24 Combine like terms: 16 + -24 = -8 -1r = -8 Divide each side by '-1'. r = 8 Simplifying r = 8
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