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Simplifying 12 + -7v = -4(v + 3) Reorder the terms: 12 + -7v = -4(3 + v) 12 + -7v = (3 * -4 + v * -4) 12 + -7v = (-12 + -4v) Solving 12 + -7v = -12 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 12 + -7v + 4v = -12 + -4v + 4v Combine like terms: -7v + 4v = -3v 12 + -3v = -12 + -4v + 4v Combine like terms: -4v + 4v = 0 12 + -3v = -12 + 0 12 + -3v = -12 Add '-12' to each side of the equation. 12 + -12 + -3v = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -3v = -12 + -12 -3v = -12 + -12 Combine like terms: -12 + -12 = -24 -3v = -24 Divide each side by '-3'. v = 8 Simplifying v = 8
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