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Simplifying -6 = -7v + 4(v + -3) Reorder the terms: -6 = -7v + 4(-3 + v) -6 = -7v + (-3 * 4 + v * 4) -6 = -7v + (-12 + 4v) Reorder the terms: -6 = -12 + -7v + 4v Combine like terms: -7v + 4v = -3v -6 = -12 + -3v Solving -6 = -12 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -6 + 3v = -12 + -3v + 3v Combine like terms: -3v + 3v = 0 -6 + 3v = -12 + 0 -6 + 3v = -12 Add '6' to each side of the equation. -6 + 6 + 3v = -12 + 6 Combine like terms: -6 + 6 = 0 0 + 3v = -12 + 6 3v = -12 + 6 Combine like terms: -12 + 6 = -6 3v = -6 Divide each side by '3'. v = -2 Simplifying v = -2
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