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Simplifying -23 + 8r = 5(5r + -8) Reorder the terms: -23 + 8r = 5(-8 + 5r) -23 + 8r = (-8 * 5 + 5r * 5) -23 + 8r = (-40 + 25r) Solving -23 + 8r = -40 + 25r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-25r' to each side of the equation. -23 + 8r + -25r = -40 + 25r + -25r Combine like terms: 8r + -25r = -17r -23 + -17r = -40 + 25r + -25r Combine like terms: 25r + -25r = 0 -23 + -17r = -40 + 0 -23 + -17r = -40 Add '23' to each side of the equation. -23 + 23 + -17r = -40 + 23 Combine like terms: -23 + 23 = 0 0 + -17r = -40 + 23 -17r = -40 + 23 Combine like terms: -40 + 23 = -17 -17r = -17 Divide each side by '-17'. r = 1 Simplifying r = 1
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