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Simplifying 2r + -5(5 + -1r) = 13 + 3r 2r + (5 * -5 + -1r * -5) = 13 + 3r 2r + (-25 + 5r) = 13 + 3r Reorder the terms: -25 + 2r + 5r = 13 + 3r Combine like terms: 2r + 5r = 7r -25 + 7r = 13 + 3r Solving -25 + 7r = 13 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -25 + 7r + -3r = 13 + 3r + -3r Combine like terms: 7r + -3r = 4r -25 + 4r = 13 + 3r + -3r Combine like terms: 3r + -3r = 0 -25 + 4r = 13 + 0 -25 + 4r = 13 Add '25' to each side of the equation. -25 + 25 + 4r = 13 + 25 Combine like terms: -25 + 25 = 0 0 + 4r = 13 + 25 4r = 13 + 25 Combine like terms: 13 + 25 = 38 4r = 38 Divide each side by '4'. r = 9.5 Simplifying r = 9.5
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