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Simplifying 40 + -8r = 6(3 + -5r) 40 + -8r = (3 * 6 + -5r * 6) 40 + -8r = (18 + -30r) Solving 40 + -8r = 18 + -30r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '30r' to each side of the equation. 40 + -8r + 30r = 18 + -30r + 30r Combine like terms: -8r + 30r = 22r 40 + 22r = 18 + -30r + 30r Combine like terms: -30r + 30r = 0 40 + 22r = 18 + 0 40 + 22r = 18 Add '-40' to each side of the equation. 40 + -40 + 22r = 18 + -40 Combine like terms: 40 + -40 = 0 0 + 22r = 18 + -40 22r = 18 + -40 Combine like terms: 18 + -40 = -22 22r = -22 Divide each side by '22'. r = -1 Simplifying r = -1
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