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Simplifying -7v + -14 = 4(v + 2) Reorder the terms: -14 + -7v = 4(v + 2) Reorder the terms: -14 + -7v = 4(2 + v) -14 + -7v = (2 * 4 + v * 4) -14 + -7v = (8 + 4v) Solving -14 + -7v = 8 + 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. -14 + -7v + -4v = 8 + 4v + -4v Combine like terms: -7v + -4v = -11v -14 + -11v = 8 + 4v + -4v Combine like terms: 4v + -4v = 0 -14 + -11v = 8 + 0 -14 + -11v = 8 Add '14' to each side of the equation. -14 + 14 + -11v = 8 + 14 Combine like terms: -14 + 14 = 0 0 + -11v = 8 + 14 -11v = 8 + 14 Combine like terms: 8 + 14 = 22 -11v = 22 Divide each side by '-11'. v = -2 Simplifying v = -2
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