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Simplifying 16 = 3(v + 4) + -7v Reorder the terms: 16 = 3(4 + v) + -7v 16 = (4 * 3 + v * 3) + -7v 16 = (12 + 3v) + -7v Combine like terms: 3v + -7v = -4v 16 = 12 + -4v Solving 16 = 12 + -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 = 12 + -4v + 4v Combine like terms: -4v + 4v = 0 16 + 4v = 12 + 0 16 + 4v = 12 Add '-16' to each side of the equation. 16 + -16 + 4v = 12 + -16 Combine like terms: 16 + -16 = 0 0 + 4v = 12 + -16 4v = 12 + -16 Combine like terms: 12 + -16 = -4 4v = -4 Divide each side by '4'. v = -1 Simplifying v = -1
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