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Simplifying 13 + 2r = 2r + -1(5 + -1r) 13 + 2r = 2r + (5 * -1 + -1r * -1) 13 + 2r = 2r + (-5 + 1r) Reorder the terms: 13 + 2r = -5 + 2r + 1r Combine like terms: 2r + 1r = 3r 13 + 2r = -5 + 3r Solving 13 + 2r = -5 + 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. 13 + 2r + -3r = -5 + 3r + -3r Combine like terms: 2r + -3r = -1r 13 + -1r = -5 + 3r + -3r Combine like terms: 3r + -3r = 0 13 + -1r = -5 + 0 13 + -1r = -5 Add '-13' to each side of the equation. 13 + -13 + -1r = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -1r = -5 + -13 -1r = -5 + -13 Combine like terms: -5 + -13 = -18 -1r = -18 Divide each side by '-1'. r = 18 Simplifying r = 18
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