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Simplifying 14v + 4(-1v + 11) = 3(4v + -16) Reorder the terms: 14v + 4(11 + -1v) = 3(4v + -16) 14v + (11 * 4 + -1v * 4) = 3(4v + -16) 14v + (44 + -4v) = 3(4v + -16) Reorder the terms: 44 + 14v + -4v = 3(4v + -16) Combine like terms: 14v + -4v = 10v 44 + 10v = 3(4v + -16) Reorder the terms: 44 + 10v = 3(-16 + 4v) 44 + 10v = (-16 * 3 + 4v * 3) 44 + 10v = (-48 + 12v) Solving 44 + 10v = -48 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 44 + 10v + -12v = -48 + 12v + -12v Combine like terms: 10v + -12v = -2v 44 + -2v = -48 + 12v + -12v Combine like terms: 12v + -12v = 0 44 + -2v = -48 + 0 44 + -2v = -48 Add '-44' to each side of the equation. 44 + -44 + -2v = -48 + -44 Combine like terms: 44 + -44 = 0 0 + -2v = -48 + -44 -2v = -48 + -44 Combine like terms: -48 + -44 = -92 -2v = -92 Divide each side by '-2'. v = 46 Simplifying v = 46
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