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Simplifying -1(4r + 4) = -14 + -6r Reorder the terms: -1(4 + 4r) = -14 + -6r (4 * -1 + 4r * -1) = -14 + -6r (-4 + -4r) = -14 + -6r Solving -4 + -4r = -14 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. -4 + -4r + 6r = -14 + -6r + 6r Combine like terms: -4r + 6r = 2r -4 + 2r = -14 + -6r + 6r Combine like terms: -6r + 6r = 0 -4 + 2r = -14 + 0 -4 + 2r = -14 Add '4' to each side of the equation. -4 + 4 + 2r = -14 + 4 Combine like terms: -4 + 4 = 0 0 + 2r = -14 + 4 2r = -14 + 4 Combine like terms: -14 + 4 = -10 2r = -10 Divide each side by '2'. r = -5 Simplifying r = -5
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