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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 = -18 3v = -18 Divide each side by '3'. v = -6 Simplifying v = -6
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