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Simplifying 2v + 3(8 + -1v) = 16 + -4(v + 7) 2v + (8 * 3 + -1v * 3) = 16 + -4(v + 7) 2v + (24 + -3v) = 16 + -4(v + 7) Reorder the terms: 24 + 2v + -3v = 16 + -4(v + 7) Combine like terms: 2v + -3v = -1v 24 + -1v = 16 + -4(v + 7) Reorder the terms: 24 + -1v = 16 + -4(7 + v) 24 + -1v = 16 + (7 * -4 + v * -4) 24 + -1v = 16 + (-28 + -4v) Combine like terms: 16 + -28 = -12 24 + -1v = -12 + -4v Solving 24 + -1v = -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. 24 + -1v + 4v = -12 + -4v + 4v Combine like terms: -1v + 4v = 3v 24 + 3v = -12 + -4v + 4v Combine like terms: -4v + 4v = 0 24 + 3v = -12 + 0 24 + 3v = -12 Add '-24' to each side of the equation. 24 + -24 + 3v = -12 + -24 Combine like terms: 24 + -24 = 0 0 + 3v = -12 + -24 3v = -12 + -24 Combine like terms: -12 + -24 = -36 3v = -36 Divide each side by '3'. v = -12 Simplifying v = -12
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