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Simplifying 5(5r + -8) = 20 + 5r Reorder the terms: 5(-8 + 5r) = 20 + 5r (-8 * 5 + 5r * 5) = 20 + 5r (-40 + 25r) = 20 + 5r Solving -40 + 25r = 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 + 25r + -5r = 20 + 5r + -5r Combine like terms: 25r + -5r = 20r -40 + 20r = 20 + 5r + -5r Combine like terms: 5r + -5r = 0 -40 + 20r = 20 + 0 -40 + 20r = 20 Add '40' to each side of the equation. -40 + 40 + 20r = 20 + 40 Combine like terms: -40 + 40 = 0 0 + 20r = 20 + 40 20r = 20 + 40 Combine like terms: 20 + 40 = 60 20r = 60 Divide each side by '20'. r = 3 Simplifying r = 3
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