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Simplifying 24 + 8r = 7(4r + -8) Reorder the terms: 24 + 8r = 7(-8 + 4r) 24 + 8r = (-8 * 7 + 4r * 7) 24 + 8r = (-56 + 28r) Solving 24 + 8r = -56 + 28r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-28r' to each side of the equation. 24 + 8r + -28r = -56 + 28r + -28r Combine like terms: 8r + -28r = -20r 24 + -20r = -56 + 28r + -28r Combine like terms: 28r + -28r = 0 24 + -20r = -56 + 0 24 + -20r = -56 Add '-24' to each side of the equation. 24 + -24 + -20r = -56 + -24 Combine like terms: 24 + -24 = 0 0 + -20r = -56 + -24 -20r = -56 + -24 Combine like terms: -56 + -24 = -80 -20r = -80 Divide each side by '-20'. r = 4 Simplifying r = 4
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