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Simplifying 2v + 14 + -2v = 2v + 8(-5v + 16) Reorder the terms: 14 + 2v + -2v = 2v + 8(-5v + 16) Combine like terms: 2v + -2v = 0 14 + 0 = 2v + 8(-5v + 16) 14 = 2v + 8(-5v + 16) Reorder the terms: 14 = 2v + 8(16 + -5v) 14 = 2v + (16 * 8 + -5v * 8) 14 = 2v + (128 + -40v) Reorder the terms: 14 = 128 + 2v + -40v Combine like terms: 2v + -40v = -38v 14 = 128 + -38v Solving 14 = 128 + -38v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '38v' to each side of the equation. 14 + 38v = 128 + -38v + 38v Combine like terms: -38v + 38v = 0 14 + 38v = 128 + 0 14 + 38v = 128 Add '-14' to each side of the equation. 14 + -14 + 38v = 128 + -14 Combine like terms: 14 + -14 = 0 0 + 38v = 128 + -14 38v = 128 + -14 Combine like terms: 128 + -14 = 114 38v = 114 Divide each side by '38'. v = 3 Simplifying v = 3
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