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Simplifying 4 + 2(1 + -4v) = -4(v + 4) + -3v 4 + (1 * 2 + -4v * 2) = -4(v + 4) + -3v 4 + (2 + -8v) = -4(v + 4) + -3v Combine like terms: 4 + 2 = 6 6 + -8v = -4(v + 4) + -3v Reorder the terms: 6 + -8v = -4(4 + v) + -3v 6 + -8v = (4 * -4 + v * -4) + -3v 6 + -8v = (-16 + -4v) + -3v Combine like terms: -4v + -3v = -7v 6 + -8v = -16 + -7v Solving 6 + -8v = -16 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. 6 + -8v + 7v = -16 + -7v + 7v Combine like terms: -8v + 7v = -1v 6 + -1v = -16 + -7v + 7v Combine like terms: -7v + 7v = 0 6 + -1v = -16 + 0 6 + -1v = -16 Add '-6' to each side of the equation. 6 + -6 + -1v = -16 + -6 Combine like terms: 6 + -6 = 0 0 + -1v = -16 + -6 -1v = -16 + -6 Combine like terms: -16 + -6 = -22 -1v = -22 Divide each side by '-1'. v = 22 Simplifying v = 22
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