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Simplifying 8 + 2(3 + -3r) = 34 + 4r 8 + (3 * 2 + -3r * 2) = 34 + 4r 8 + (6 + -6r) = 34 + 4r Combine like terms: 8 + 6 = 14 14 + -6r = 34 + 4r Solving 14 + -6r = 34 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 14 + -6r + -4r = 34 + 4r + -4r Combine like terms: -6r + -4r = -10r 14 + -10r = 34 + 4r + -4r Combine like terms: 4r + -4r = 0 14 + -10r = 34 + 0 14 + -10r = 34 Add '-14' to each side of the equation. 14 + -14 + -10r = 34 + -14 Combine like terms: 14 + -14 = 0 0 + -10r = 34 + -14 -10r = 34 + -14 Combine like terms: 34 + -14 = 20 -10r = 20 Divide each side by '-10'. r = -2 Simplifying r = -2
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