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Simplifying -23 + 6v = -7 + -1(5 + 5v) -23 + 6v = -7 + (5 * -1 + 5v * -1) -23 + 6v = -7 + (-5 + -5v) Combine like terms: -7 + -5 = -12 -23 + 6v = -12 + -5v Solving -23 + 6v = -12 + -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. -23 + 6v + 5v = -12 + -5v + 5v Combine like terms: 6v + 5v = 11v -23 + 11v = -12 + -5v + 5v Combine like terms: -5v + 5v = 0 -23 + 11v = -12 + 0 -23 + 11v = -12 Add '23' to each side of the equation. -23 + 23 + 11v = -12 + 23 Combine like terms: -23 + 23 = 0 0 + 11v = -12 + 23 11v = -12 + 23 Combine like terms: -12 + 23 = 11 11v = 11 Divide each side by '11'. v = 1 Simplifying v = 1
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