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Simplifying -2(-8r + -7) = -20 + -1r Reorder the terms: -2(-7 + -8r) = -20 + -1r (-7 * -2 + -8r * -2) = -20 + -1r (14 + 16r) = -20 + -1r Solving 14 + 16r = -20 + -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. 14 + 16r + r = -20 + -1r + r Combine like terms: 16r + r = 17r 14 + 17r = -20 + -1r + r Combine like terms: -1r + r = 0 14 + 17r = -20 + 0 14 + 17r = -20 Add '-14' to each side of the equation. 14 + -14 + 17r = -20 + -14 Combine like terms: 14 + -14 = 0 0 + 17r = -20 + -14 17r = -20 + -14 Combine like terms: -20 + -14 = -34 17r = -34 Divide each side by '17'. r = -2 Simplifying r = -2
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