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Simplifying -1(-7v + 7) + -2(v + 4) = 4v + -4v Reorder the terms: -1(7 + -7v) + -2(v + 4) = 4v + -4v (7 * -1 + -7v * -1) + -2(v + 4) = 4v + -4v (-7 + 7v) + -2(v + 4) = 4v + -4v Reorder the terms: -7 + 7v + -2(4 + v) = 4v + -4v -7 + 7v + (4 * -2 + v * -2) = 4v + -4v -7 + 7v + (-8 + -2v) = 4v + -4v Reorder the terms: -7 + -8 + 7v + -2v = 4v + -4v Combine like terms: -7 + -8 = -15 -15 + 7v + -2v = 4v + -4v Combine like terms: 7v + -2v = 5v -15 + 5v = 4v + -4v Combine like terms: 4v + -4v = 0 -15 + 5v = 0 Solving -15 + 5v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 5v = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 5v = 0 + 15 5v = 0 + 15 Combine like terms: 0 + 15 = 15 5v = 15 Divide each side by '5'. v = 3 Simplifying v = 3
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