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Simplifying 7v + -1(3v + -12) = 4(3 + 2v) Reorder the terms: 7v + -1(-12 + 3v) = 4(3 + 2v) 7v + (-12 * -1 + 3v * -1) = 4(3 + 2v) 7v + (12 + -3v) = 4(3 + 2v) Reorder the terms: 12 + 7v + -3v = 4(3 + 2v) Combine like terms: 7v + -3v = 4v 12 + 4v = 4(3 + 2v) 12 + 4v = (3 * 4 + 2v * 4) 12 + 4v = (12 + 8v) Add '-12' to each side of the equation. 12 + -12 + 4v = 12 + -12 + 8v Combine like terms: 12 + -12 = 0 0 + 4v = 12 + -12 + 8v 4v = 12 + -12 + 8v Combine like terms: 12 + -12 = 0 4v = 0 + 8v 4v = 8v Solving 4v = 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 4v + -8v = 8v + -8v Combine like terms: 4v + -8v = -4v -4v = 8v + -8v Combine like terms: 8v + -8v = 0 -4v = 0 Divide each side by '-4'. v = 0 Simplifying v = 0
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