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Simplifying 8(5r + -9) = 33 + -4r Reorder the terms: 8(-9 + 5r) = 33 + -4r (-9 * 8 + 5r * 8) = 33 + -4r (-72 + 40r) = 33 + -4r Solving -72 + 40r = 33 + -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. -72 + 40r + 4r = 33 + -4r + 4r Combine like terms: 40r + 4r = 44r -72 + 44r = 33 + -4r + 4r Combine like terms: -4r + 4r = 0 -72 + 44r = 33 + 0 -72 + 44r = 33 Add '72' to each side of the equation. -72 + 72 + 44r = 33 + 72 Combine like terms: -72 + 72 = 0 0 + 44r = 33 + 72 44r = 33 + 72 Combine like terms: 33 + 72 = 105 44r = 105 Divide each side by '44'. r = 2.386363636 Simplifying r = 2.386363636
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