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Simplifying 154 = 4(8 + 6r) + 24 154 = (8 * 4 + 6r * 4) + 24 154 = (32 + 24r) + 24 Reorder the terms: 154 = 32 + 24 + 24r Combine like terms: 32 + 24 = 56 154 = 56 + 24r Solving 154 = 56 + 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. 154 + -24r = 56 + 24r + -24r Combine like terms: 24r + -24r = 0 154 + -24r = 56 + 0 154 + -24r = 56 Add '-154' to each side of the equation. 154 + -154 + -24r = 56 + -154 Combine like terms: 154 + -154 = 0 0 + -24r = 56 + -154 -24r = 56 + -154 Combine like terms: 56 + -154 = -98 -24r = -98 Divide each side by '-24'. r = 4.083333333 Simplifying r = 4.083333333
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