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Simplifying 2v + -14 = 4(v + 1) Reorder the terms: -14 + 2v = 4(v + 1) Reorder the terms: -14 + 2v = 4(1 + v) -14 + 2v = (1 * 4 + v * 4) -14 + 2v = (4 + 4v) Solving -14 + 2v = 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. -14 + 2v + -4v = 4 + 4v + -4v Combine like terms: 2v + -4v = -2v -14 + -2v = 4 + 4v + -4v Combine like terms: 4v + -4v = 0 -14 + -2v = 4 + 0 -14 + -2v = 4 Add '14' to each side of the equation. -14 + 14 + -2v = 4 + 14 Combine like terms: -14 + 14 = 0 0 + -2v = 4 + 14 -2v = 4 + 14 Combine like terms: 4 + 14 = 18 -2v = 18 Divide each side by '-2'. v = -9 Simplifying v = -9
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