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Simplifying -8 + 2(11r + 11) = -2(2 + -12r) Reorder the terms: -8 + 2(11 + 11r) = -2(2 + -12r) -8 + (11 * 2 + 11r * 2) = -2(2 + -12r) -8 + (22 + 22r) = -2(2 + -12r) Combine like terms: -8 + 22 = 14 14 + 22r = -2(2 + -12r) 14 + 22r = (2 * -2 + -12r * -2) 14 + 22r = (-4 + 24r) Solving 14 + 22r = -4 + 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. 14 + 22r + -24r = -4 + 24r + -24r Combine like terms: 22r + -24r = -2r 14 + -2r = -4 + 24r + -24r Combine like terms: 24r + -24r = 0 14 + -2r = -4 + 0 14 + -2r = -4 Add '-14' to each side of the equation. 14 + -14 + -2r = -4 + -14 Combine like terms: 14 + -14 = 0 0 + -2r = -4 + -14 -2r = -4 + -14 Combine like terms: -4 + -14 = -18 -2r = -18 Divide each side by '-2'. r = 9 Simplifying r = 9
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