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Simplifying -10 = -7v + 5(v + -4) Reorder the terms: -10 = -7v + 5(-4 + v) -10 = -7v + (-4 * 5 + v * 5) -10 = -7v + (-20 + 5v) Reorder the terms: -10 = -20 + -7v + 5v Combine like terms: -7v + 5v = -2v -10 = -20 + -2v Solving -10 = -20 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -10 + 2v = -20 + -2v + 2v Combine like terms: -2v + 2v = 0 -10 + 2v = -20 + 0 -10 + 2v = -20 Add '10' to each side of the equation. -10 + 10 + 2v = -20 + 10 Combine like terms: -10 + 10 = 0 0 + 2v = -20 + 10 2v = -20 + 10 Combine like terms: -20 + 10 = -10 2v = -10 Divide each side by '2'. v = -5 Simplifying v = -5
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