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Simplifying 6(v + 2) + -6 = -5(v + 1) Reorder the terms: 6(2 + v) + -6 = -5(v + 1) (2 * 6 + v * 6) + -6 = -5(v + 1) (12 + 6v) + -6 = -5(v + 1) Reorder the terms: 12 + -6 + 6v = -5(v + 1) Combine like terms: 12 + -6 = 6 6 + 6v = -5(v + 1) Reorder the terms: 6 + 6v = -5(1 + v) 6 + 6v = (1 * -5 + v * -5) 6 + 6v = (-5 + -5v) Solving 6 + 6v = -5 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 6 + 6v + 5v = -5 + -5v + 5v Combine like terms: 6v + 5v = 11v 6 + 11v = -5 + -5v + 5v Combine like terms: -5v + 5v = 0 6 + 11v = -5 + 0 6 + 11v = -5 Add '-6' to each side of the equation. 6 + -6 + 11v = -5 + -6 Combine like terms: 6 + -6 = 0 0 + 11v = -5 + -6 11v = -5 + -6 Combine like terms: -5 + -6 = -11 11v = -11 Divide each side by '11'. v = -1 Simplifying v = -1
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