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Simplifying 13 + -5r = 2r + -5(-8 + -4r) 13 + -5r = 2r + (-8 * -5 + -4r * -5) 13 + -5r = 2r + (40 + 20r) Reorder the terms: 13 + -5r = 40 + 2r + 20r Combine like terms: 2r + 20r = 22r 13 + -5r = 40 + 22r Solving 13 + -5r = 40 + 22r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-22r' to each side of the equation. 13 + -5r + -22r = 40 + 22r + -22r Combine like terms: -5r + -22r = -27r 13 + -27r = 40 + 22r + -22r Combine like terms: 22r + -22r = 0 13 + -27r = 40 + 0 13 + -27r = 40 Add '-13' to each side of the equation. 13 + -13 + -27r = 40 + -13 Combine like terms: 13 + -13 = 0 0 + -27r = 40 + -13 -27r = 40 + -13 Combine like terms: 40 + -13 = 27 -27r = 27 Divide each side by '-27'. r = -1 Simplifying r = -1
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