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Simplifying -8r + 2 = 2(r + 6) Reorder the terms: 2 + -8r = 2(r + 6) Reorder the terms: 2 + -8r = 2(6 + r) 2 + -8r = (6 * 2 + r * 2) 2 + -8r = (12 + 2r) Solving 2 + -8r = 12 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 2 + -8r + -2r = 12 + 2r + -2r Combine like terms: -8r + -2r = -10r 2 + -10r = 12 + 2r + -2r Combine like terms: 2r + -2r = 0 2 + -10r = 12 + 0 2 + -10r = 12 Add '-2' to each side of the equation. 2 + -2 + -10r = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -10r = 12 + -2 -10r = 12 + -2 Combine like terms: 12 + -2 = 10 -10r = 10 Divide each side by '-10'. r = -1 Simplifying r = -1
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