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Simplifying -7(4r + -5) = 23 + 8r Reorder the terms: -7(-5 + 4r) = 23 + 8r (-5 * -7 + 4r * -7) = 23 + 8r (35 + -28r) = 23 + 8r Solving 35 + -28r = 23 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 35 + -28r + -8r = 23 + 8r + -8r Combine like terms: -28r + -8r = -36r 35 + -36r = 23 + 8r + -8r Combine like terms: 8r + -8r = 0 35 + -36r = 23 + 0 35 + -36r = 23 Add '-35' to each side of the equation. 35 + -35 + -36r = 23 + -35 Combine like terms: 35 + -35 = 0 0 + -36r = 23 + -35 -36r = 23 + -35 Combine like terms: 23 + -35 = -12 -36r = -12 Divide each side by '-36'. r = 0.3333333333 Simplifying r = 0.3333333333
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