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Simplifying 5(5r + -5) + -2 = -52 Reorder the terms: 5(-5 + 5r) + -2 = -52 (-5 * 5 + 5r * 5) + -2 = -52 (-25 + 25r) + -2 = -52 Reorder the terms: -25 + -2 + 25r = -52 Combine like terms: -25 + -2 = -27 -27 + 25r = -52 Solving -27 + 25r = -52 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 25r = -52 + 27 Combine like terms: -27 + 27 = 0 0 + 25r = -52 + 27 25r = -52 + 27 Combine like terms: -52 + 27 = -25 25r = -25 Divide each side by '25'. r = -1 Simplifying r = -1
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