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Simplifying -16 + -8v = 5(3v + 6) Reorder the terms: -16 + -8v = 5(6 + 3v) -16 + -8v = (6 * 5 + 3v * 5) -16 + -8v = (30 + 15v) Solving -16 + -8v = 30 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. -16 + -8v + -15v = 30 + 15v + -15v Combine like terms: -8v + -15v = -23v -16 + -23v = 30 + 15v + -15v Combine like terms: 15v + -15v = 0 -16 + -23v = 30 + 0 -16 + -23v = 30 Add '16' to each side of the equation. -16 + 16 + -23v = 30 + 16 Combine like terms: -16 + 16 = 0 0 + -23v = 30 + 16 -23v = 30 + 16 Combine like terms: 30 + 16 = 46 -23v = 46 Divide each side by '-23'. v = -2 Simplifying v = -2
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