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Simplifying 2r + -5(5 + -1r) = 13 + 2r 2r + (5 * -5 + -1r * -5) = 13 + 2r 2r + (-25 + 5r) = 13 + 2r Reorder the terms: -25 + 2r + 5r = 13 + 2r Combine like terms: 2r + 5r = 7r -25 + 7r = 13 + 2r Solving -25 + 7r = 13 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -25 + 7r + -2r = 13 + 2r + -2r Combine like terms: 7r + -2r = 5r -25 + 5r = 13 + 2r + -2r Combine like terms: 2r + -2r = 0 -25 + 5r = 13 + 0 -25 + 5r = 13 Add '25' to each side of the equation. -25 + 25 + 5r = 13 + 25 Combine like terms: -25 + 25 = 0 0 + 5r = 13 + 25 5r = 13 + 25 Combine like terms: 13 + 25 = 38 5r = 38 Divide each side by '5'. r = 7.6 Simplifying r = 7.6
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