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Simplifying 2(5 + -1r) = 13 + 2r (5 * 2 + -1r * 2) = 13 + 2r (10 + -2r) = 13 + 2r Solving 10 + -2r = 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. 10 + -2r + -2r = 13 + 2r + -2r Combine like terms: -2r + -2r = -4r 10 + -4r = 13 + 2r + -2r Combine like terms: 2r + -2r = 0 10 + -4r = 13 + 0 10 + -4r = 13 Add '-10' to each side of the equation. 10 + -10 + -4r = 13 + -10 Combine like terms: 10 + -10 = 0 0 + -4r = 13 + -10 -4r = 13 + -10 Combine like terms: 13 + -10 = 3 -4r = 3 Divide each side by '-4'. r = -0.75 Simplifying r = -0.75
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