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Simplifying -6(5 + -1r) = 2 + 2r (5 * -6 + -1r * -6) = 2 + 2r (-30 + 6r) = 2 + 2r Solving -30 + 6r = 2 + 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. -30 + 6r + -2r = 2 + 2r + -2r Combine like terms: 6r + -2r = 4r -30 + 4r = 2 + 2r + -2r Combine like terms: 2r + -2r = 0 -30 + 4r = 2 + 0 -30 + 4r = 2 Add '30' to each side of the equation. -30 + 30 + 4r = 2 + 30 Combine like terms: -30 + 30 = 0 0 + 4r = 2 + 30 4r = 2 + 30 Combine like terms: 2 + 30 = 32 4r = 32 Divide each side by '4'. r = 8 Simplifying r = 8
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