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Simplifying -2(-8 + r) = 34 + 4r (-8 * -2 + r * -2) = 34 + 4r (16 + -2r) = 34 + 4r Solving 16 + -2r = 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. 16 + -2r + -4r = 34 + 4r + -4r Combine like terms: -2r + -4r = -6r 16 + -6r = 34 + 4r + -4r Combine like terms: 4r + -4r = 0 16 + -6r = 34 + 0 16 + -6r = 34 Add '-16' to each side of the equation. 16 + -16 + -6r = 34 + -16 Combine like terms: 16 + -16 = 0 0 + -6r = 34 + -16 -6r = 34 + -16 Combine like terms: 34 + -16 = 18 -6r = 18 Divide each side by '-6'. r = -3 Simplifying r = -3
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