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Simplifying 4v + 16 = 5(3 + v) + -8 Reorder the terms: 16 + 4v = 5(3 + v) + -8 16 + 4v = (3 * 5 + v * 5) + -8 16 + 4v = (15 + 5v) + -8 Reorder the terms: 16 + 4v = 15 + -8 + 5v Combine like terms: 15 + -8 = 7 16 + 4v = 7 + 5v Solving 16 + 4v = 7 + 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 + 4v + -5v = 7 + 5v + -5v Combine like terms: 4v + -5v = -1v 16 + -1v = 7 + 5v + -5v Combine like terms: 5v + -5v = 0 16 + -1v = 7 + 0 16 + -1v = 7 Add '-16' to each side of the equation. 16 + -16 + -1v = 7 + -16 Combine like terms: 16 + -16 = 0 0 + -1v = 7 + -16 -1v = 7 + -16 Combine like terms: 7 + -16 = -9 -1v = -9 Divide each side by '-1'. v = 9 Simplifying v = 9
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