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Simplifying 16 = -2(8v + -1) + 2(7v + 1) Reorder the terms: 16 = -2(-1 + 8v) + 2(7v + 1) 16 = (-1 * -2 + 8v * -2) + 2(7v + 1) 16 = (2 + -16v) + 2(7v + 1) Reorder the terms: 16 = 2 + -16v + 2(1 + 7v) 16 = 2 + -16v + (1 * 2 + 7v * 2) 16 = 2 + -16v + (2 + 14v) Reorder the terms: 16 = 2 + 2 + -16v + 14v Combine like terms: 2 + 2 = 4 16 = 4 + -16v + 14v Combine like terms: -16v + 14v = -2v 16 = 4 + -2v Solving 16 = 4 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 16 + 2v = 4 + -2v + 2v Combine like terms: -2v + 2v = 0 16 + 2v = 4 + 0 16 + 2v = 4 Add '-16' to each side of the equation. 16 + -16 + 2v = 4 + -16 Combine like terms: 16 + -16 = 0 0 + 2v = 4 + -16 2v = 4 + -16 Combine like terms: 4 + -16 = -12 2v = -12 Divide each side by '2'. v = -6 Simplifying v = -6
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