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Simplifying -39 + 8r = 5(1 + 6r) -39 + 8r = (1 * 5 + 6r * 5) -39 + 8r = (5 + 30r) Solving -39 + 8r = 5 + 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. -39 + 8r + -30r = 5 + 30r + -30r Combine like terms: 8r + -30r = -22r -39 + -22r = 5 + 30r + -30r Combine like terms: 30r + -30r = 0 -39 + -22r = 5 + 0 -39 + -22r = 5 Add '39' to each side of the equation. -39 + 39 + -22r = 5 + 39 Combine like terms: -39 + 39 = 0 0 + -22r = 5 + 39 -22r = 5 + 39 Combine like terms: 5 + 39 = 44 -22r = 44 Divide each side by '-22'. r = -2 Simplifying r = -2
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