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Simplifying -5(8 + 8r) + 5r = 20 + -5r (8 * -5 + 8r * -5) + 5r = 20 + -5r (-40 + -40r) + 5r = 20 + -5r Combine like terms: -40r + 5r = -35r -40 + -35r = 20 + -5r Solving -40 + -35r = 20 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. -40 + -35r + 5r = 20 + -5r + 5r Combine like terms: -35r + 5r = -30r -40 + -30r = 20 + -5r + 5r Combine like terms: -5r + 5r = 0 -40 + -30r = 20 + 0 -40 + -30r = 20 Add '40' to each side of the equation. -40 + 40 + -30r = 20 + 40 Combine like terms: -40 + 40 = 0 0 + -30r = 20 + 40 -30r = 20 + 40 Combine like terms: 20 + 40 = 60 -30r = 60 Divide each side by '-30'. r = -2 Simplifying r = -2
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