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Simplifying 16 = 2(v + -7) + 3v Reorder the terms: 16 = 2(-7 + v) + 3v 16 = (-7 * 2 + v * 2) + 3v 16 = (-14 + 2v) + 3v Combine like terms: 2v + 3v = 5v 16 = -14 + 5v Solving 16 = -14 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 16 + -5v = -14 + 5v + -5v Combine like terms: 5v + -5v = 0 16 + -5v = -14 + 0 16 + -5v = -14 Add '-16' to each side of the equation. 16 + -16 + -5v = -14 + -16 Combine like terms: 16 + -16 = 0 0 + -5v = -14 + -16 -5v = -14 + -16 Combine like terms: -14 + -16 = -30 -5v = -30 Divide each side by '-5'. v = 6 Simplifying v = 6
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