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Simplifying -2(7 + 2r) = -6(r + 6) (7 * -2 + 2r * -2) = -6(r + 6) (-14 + -4r) = -6(r + 6) Reorder the terms: -14 + -4r = -6(6 + r) -14 + -4r = (6 * -6 + r * -6) -14 + -4r = (-36 + -6r) Solving -14 + -4r = -36 + -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. -14 + -4r + 6r = -36 + -6r + 6r Combine like terms: -4r + 6r = 2r -14 + 2r = -36 + -6r + 6r Combine like terms: -6r + 6r = 0 -14 + 2r = -36 + 0 -14 + 2r = -36 Add '14' to each side of the equation. -14 + 14 + 2r = -36 + 14 Combine like terms: -14 + 14 = 0 0 + 2r = -36 + 14 2r = -36 + 14 Combine like terms: -36 + 14 = -22 2r = -22 Divide each side by '2'. r = -11 Simplifying r = -11
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