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Simplifying 35 + -8r = -1r + 3(-3 + 5r) 35 + -8r = -1r + (-3 * 3 + 5r * 3) 35 + -8r = -1r + (-9 + 15r) Reorder the terms: 35 + -8r = -9 + -1r + 15r Combine like terms: -1r + 15r = 14r 35 + -8r = -9 + 14r Solving 35 + -8r = -9 + 14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14r' to each side of the equation. 35 + -8r + -14r = -9 + 14r + -14r Combine like terms: -8r + -14r = -22r 35 + -22r = -9 + 14r + -14r Combine like terms: 14r + -14r = 0 35 + -22r = -9 + 0 35 + -22r = -9 Add '-35' to each side of the equation. 35 + -35 + -22r = -9 + -35 Combine like terms: 35 + -35 = 0 0 + -22r = -9 + -35 -22r = -9 + -35 Combine like terms: -9 + -35 = -44 -22r = -44 Divide each side by '-22'. r = 2 Simplifying r = 2
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