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Simplifying 7v + -7 = -4(v + -1) Reorder the terms: -7 + 7v = -4(v + -1) Reorder the terms: -7 + 7v = -4(-1 + v) -7 + 7v = (-1 * -4 + v * -4) -7 + 7v = (4 + -4v) Solving -7 + 7v = 4 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -7 + 7v + 4v = 4 + -4v + 4v Combine like terms: 7v + 4v = 11v -7 + 11v = 4 + -4v + 4v Combine like terms: -4v + 4v = 0 -7 + 11v = 4 + 0 -7 + 11v = 4 Add '7' to each side of the equation. -7 + 7 + 11v = 4 + 7 Combine like terms: -7 + 7 = 0 0 + 11v = 4 + 7 11v = 4 + 7 Combine like terms: 4 + 7 = 11 11v = 11 Divide each side by '11'. v = 1 Simplifying v = 1
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