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Simplifying -4v + 16 = 4(v + -4) Reorder the terms: 16 + -4v = 4(v + -4) Reorder the terms: 16 + -4v = 4(-4 + v) 16 + -4v = (-4 * 4 + v * 4) 16 + -4v = (-16 + 4v) Solving 16 + -4v = -16 + 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. 16 + -4v + -4v = -16 + 4v + -4v Combine like terms: -4v + -4v = -8v 16 + -8v = -16 + 4v + -4v Combine like terms: 4v + -4v = 0 16 + -8v = -16 + 0 16 + -8v = -16 Add '-16' to each side of the equation. 16 + -16 + -8v = -16 + -16 Combine like terms: 16 + -16 = 0 0 + -8v = -16 + -16 -8v = -16 + -16 Combine like terms: -16 + -16 = -32 -8v = -32 Divide each side by '-8'. v = 4 Simplifying v = 4
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