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Simplifying -18 = 2(v + -4) + -7v Reorder the terms: -18 = 2(-4 + v) + -7v -18 = (-4 * 2 + v * 2) + -7v -18 = (-8 + 2v) + -7v Combine like terms: 2v + -7v = -5v -18 = -8 + -5v Solving -18 = -8 + -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. -18 + 5v = -8 + -5v + 5v Combine like terms: -5v + 5v = 0 -18 + 5v = -8 + 0 -18 + 5v = -8 Add '18' to each side of the equation. -18 + 18 + 5v = -8 + 18 Combine like terms: -18 + 18 = 0 0 + 5v = -8 + 18 5v = -8 + 18 Combine like terms: -8 + 18 = 10 5v = 10 Divide each side by '5'. v = 2 Simplifying v = 2
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