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Simplifying r + -2[1 + -4(2r + 6)] = 80 Reorder the terms: r + -2[1 + -4(6 + 2r)] = 80 r + -2[1 + (6 * -4 + 2r * -4)] = 80 r + -2[1 + (-24 + -8r)] = 80 Combine like terms: 1 + -24 = -23 r + -2[-23 + -8r] = 80 r + [-23 * -2 + -8r * -2] = 80 r + [46 + 16r] = 80 Reorder the terms: 46 + r + 16r = 80 Combine like terms: r + 16r = 17r 46 + 17r = 80 Solving 46 + 17r = 80 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 17r = 80 + -46 Combine like terms: 46 + -46 = 0 0 + 17r = 80 + -46 17r = 80 + -46 Combine like terms: 80 + -46 = 34 17r = 34 Divide each side by '17'. r = 2 Simplifying r = 2
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