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Simplifying 5(r + -7) = 37 + -4r Reorder the terms: 5(-7 + r) = 37 + -4r (-7 * 5 + r * 5) = 37 + -4r (-35 + 5r) = 37 + -4r Solving -35 + 5r = 37 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. -35 + 5r + 4r = 37 + -4r + 4r Combine like terms: 5r + 4r = 9r -35 + 9r = 37 + -4r + 4r Combine like terms: -4r + 4r = 0 -35 + 9r = 37 + 0 -35 + 9r = 37 Add '35' to each side of the equation. -35 + 35 + 9r = 37 + 35 Combine like terms: -35 + 35 = 0 0 + 9r = 37 + 35 9r = 37 + 35 Combine like terms: 37 + 35 = 72 9r = 72 Divide each side by '9'. r = 8 Simplifying r = 8
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