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Simplifying -3r + -1(r + -2) = 34 + -8r Reorder the terms: -3r + -1(-2 + r) = 34 + -8r -3r + (-2 * -1 + r * -1) = 34 + -8r -3r + (2 + -1r) = 34 + -8r Reorder the terms: 2 + -3r + -1r = 34 + -8r Combine like terms: -3r + -1r = -4r 2 + -4r = 34 + -8r Solving 2 + -4r = 34 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 2 + -4r + 8r = 34 + -8r + 8r Combine like terms: -4r + 8r = 4r 2 + 4r = 34 + -8r + 8r Combine like terms: -8r + 8r = 0 2 + 4r = 34 + 0 2 + 4r = 34 Add '-2' to each side of the equation. 2 + -2 + 4r = 34 + -2 Combine like terms: 2 + -2 = 0 0 + 4r = 34 + -2 4r = 34 + -2 Combine like terms: 34 + -2 = 32 4r = 32 Divide each side by '4'. r = 8 Simplifying r = 8
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