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Simplifying 4 = 2(v + -3) + -7v Reorder the terms: 4 = 2(-3 + v) + -7v 4 = (-3 * 2 + v * 2) + -7v 4 = (-6 + 2v) + -7v Combine like terms: 2v + -7v = -5v 4 = -6 + -5v Solving 4 = -6 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 4 + 5v = -6 + -5v + 5v Combine like terms: -5v + 5v = 0 4 + 5v = -6 + 0 4 + 5v = -6 Add '-4' to each side of the equation. 4 + -4 + 5v = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 5v = -6 + -4 5v = -6 + -4 Combine like terms: -6 + -4 = -10 5v = -10 Divide each side by '5'. v = -2 Simplifying v = -2
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