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Simplifying 154 = 4(8 + 6r) + 24r 154 = (8 * 4 + 6r * 4) + 24r 154 = (32 + 24r) + 24r Combine like terms: 24r + 24r = 48r 154 = 32 + 48r Solving 154 = 32 + 48r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-48r' to each side of the equation. 154 + -48r = 32 + 48r + -48r Combine like terms: 48r + -48r = 0 154 + -48r = 32 + 0 154 + -48r = 32 Add '-154' to each side of the equation. 154 + -154 + -48r = 32 + -154 Combine like terms: 154 + -154 = 0 0 + -48r = 32 + -154 -48r = 32 + -154 Combine like terms: 32 + -154 = -122 -48r = -122 Divide each side by '-48'. r = 2.541666667 Simplifying r = 2.541666667
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