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Simplifying 4r + -6(1 + -8r) = 39 + 7r 4r + (1 * -6 + -8r * -6) = 39 + 7r 4r + (-6 + 48r) = 39 + 7r Reorder the terms: -6 + 4r + 48r = 39 + 7r Combine like terms: 4r + 48r = 52r -6 + 52r = 39 + 7r Solving -6 + 52r = 39 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -6 + 52r + -7r = 39 + 7r + -7r Combine like terms: 52r + -7r = 45r -6 + 45r = 39 + 7r + -7r Combine like terms: 7r + -7r = 0 -6 + 45r = 39 + 0 -6 + 45r = 39 Add '6' to each side of the equation. -6 + 6 + 45r = 39 + 6 Combine like terms: -6 + 6 = 0 0 + 45r = 39 + 6 45r = 39 + 6 Combine like terms: 39 + 6 = 45 45r = 45 Divide each side by '45'. r = 1 Simplifying r = 1
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