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Simplifying -4v + 16 = -2(v + 1) Reorder the terms: 16 + -4v = -2(v + 1) Reorder the terms: 16 + -4v = -2(1 + v) 16 + -4v = (1 * -2 + v * -2) 16 + -4v = (-2 + -2v) Solving 16 + -4v = -2 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 16 + -4v + 2v = -2 + -2v + 2v Combine like terms: -4v + 2v = -2v 16 + -2v = -2 + -2v + 2v Combine like terms: -2v + 2v = 0 16 + -2v = -2 + 0 16 + -2v = -2 Add '-16' to each side of the equation. 16 + -16 + -2v = -2 + -16 Combine like terms: 16 + -16 = 0 0 + -2v = -2 + -16 -2v = -2 + -16 Combine like terms: -2 + -16 = -18 -2v = -18 Divide each side by '-2'. v = 9 Simplifying v = 9
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