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Simplifying -23 + 5r = -1(5r + -7) Reorder the terms: -23 + 5r = -1(-7 + 5r) -23 + 5r = (-7 * -1 + 5r * -1) -23 + 5r = (7 + -5r) Solving -23 + 5r = 7 + -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. -23 + 5r + 5r = 7 + -5r + 5r Combine like terms: 5r + 5r = 10r -23 + 10r = 7 + -5r + 5r Combine like terms: -5r + 5r = 0 -23 + 10r = 7 + 0 -23 + 10r = 7 Add '23' to each side of the equation. -23 + 23 + 10r = 7 + 23 Combine like terms: -23 + 23 = 0 0 + 10r = 7 + 23 10r = 7 + 23 Combine like terms: 7 + 23 = 30 10r = 30 Divide each side by '10'. r = 3 Simplifying r = 3
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