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Simplifying 11(7v + 7) = -2(6v + 6) Reorder the terms: 11(7 + 7v) = -2(6v + 6) (7 * 11 + 7v * 11) = -2(6v + 6) (77 + 77v) = -2(6v + 6) Reorder the terms: 77 + 77v = -2(6 + 6v) 77 + 77v = (6 * -2 + 6v * -2) 77 + 77v = (-12 + -12v) Solving 77 + 77v = -12 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. 77 + 77v + 12v = -12 + -12v + 12v Combine like terms: 77v + 12v = 89v 77 + 89v = -12 + -12v + 12v Combine like terms: -12v + 12v = 0 77 + 89v = -12 + 0 77 + 89v = -12 Add '-77' to each side of the equation. 77 + -77 + 89v = -12 + -77 Combine like terms: 77 + -77 = 0 0 + 89v = -12 + -77 89v = -12 + -77 Combine like terms: -12 + -77 = -89 89v = -89 Divide each side by '89'. v = -1 Simplifying v = -1
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