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Simplifying 11 + -3(1 + 6r) = 14 + -1r 11 + (1 * -3 + 6r * -3) = 14 + -1r 11 + (-3 + -18r) = 14 + -1r Combine like terms: 11 + -3 = 8 8 + -18r = 14 + -1r Solving 8 + -18r = 14 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 8 + -18r + r = 14 + -1r + r Combine like terms: -18r + r = -17r 8 + -17r = 14 + -1r + r Combine like terms: -1r + r = 0 8 + -17r = 14 + 0 8 + -17r = 14 Add '-8' to each side of the equation. 8 + -8 + -17r = 14 + -8 Combine like terms: 8 + -8 = 0 0 + -17r = 14 + -8 -17r = 14 + -8 Combine like terms: 14 + -8 = 6 -17r = 6 Divide each side by '-17'. r = -0.3529411765 Simplifying r = -0.3529411765
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