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Simplifying -2(r + 5) = 8 + -6r + 2r Reorder the terms: -2(5 + r) = 8 + -6r + 2r (5 * -2 + r * -2) = 8 + -6r + 2r (-10 + -2r) = 8 + -6r + 2r Combine like terms: -6r + 2r = -4r -10 + -2r = 8 + -4r Solving -10 + -2r = 8 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. -10 + -2r + 4r = 8 + -4r + 4r Combine like terms: -2r + 4r = 2r -10 + 2r = 8 + -4r + 4r Combine like terms: -4r + 4r = 0 -10 + 2r = 8 + 0 -10 + 2r = 8 Add '10' to each side of the equation. -10 + 10 + 2r = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 2r = 8 + 10 2r = 8 + 10 Combine like terms: 8 + 10 = 18 2r = 18 Divide each side by '2'. r = 9 Simplifying r = 9
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