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Simplifying -2(5 + 2r) = -6 + -5r (5 * -2 + 2r * -2) = -6 + -5r (-10 + -4r) = -6 + -5r Solving -10 + -4r = -6 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. -10 + -4r + 5r = -6 + -5r + 5r Combine like terms: -4r + 5r = 1r -10 + 1r = -6 + -5r + 5r Combine like terms: -5r + 5r = 0 -10 + 1r = -6 + 0 -10 + 1r = -6 Add '10' to each side of the equation. -10 + 10 + 1r = -6 + 10 Combine like terms: -10 + 10 = 0 0 + 1r = -6 + 10 1r = -6 + 10 Combine like terms: -6 + 10 = 4 1r = 4 Divide each side by '1'. r = 4 Simplifying r = 4
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