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Simplifying 6 + 8(1 + -6r) = 14 + -5r 6 + (1 * 8 + -6r * 8) = 14 + -5r 6 + (8 + -48r) = 14 + -5r Combine like terms: 6 + 8 = 14 14 + -48r = 14 + -5r Add '-14' to each side of the equation. 14 + -14 + -48r = 14 + -14 + -5r Combine like terms: 14 + -14 = 0 0 + -48r = 14 + -14 + -5r -48r = 14 + -14 + -5r Combine like terms: 14 + -14 = 0 -48r = 0 + -5r -48r = -5r Solving -48r = -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. -48r + 5r = -5r + 5r Combine like terms: -48r + 5r = -43r -43r = -5r + 5r Combine like terms: -5r + 5r = 0 -43r = 0 Divide each side by '-43'. r = 0 Simplifying r = 0
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