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Simplifying -3(-5v + 5) + -4v = -35 + 7v Reorder the terms: -3(5 + -5v) + -4v = -35 + 7v (5 * -3 + -5v * -3) + -4v = -35 + 7v (-15 + 15v) + -4v = -35 + 7v Combine like terms: 15v + -4v = 11v -15 + 11v = -35 + 7v Solving -15 + 11v = -35 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -15 + 11v + -7v = -35 + 7v + -7v Combine like terms: 11v + -7v = 4v -15 + 4v = -35 + 7v + -7v Combine like terms: 7v + -7v = 0 -15 + 4v = -35 + 0 -15 + 4v = -35 Add '15' to each side of the equation. -15 + 15 + 4v = -35 + 15 Combine like terms: -15 + 15 = 0 0 + 4v = -35 + 15 4v = -35 + 15 Combine like terms: -35 + 15 = -20 4v = -20 Divide each side by '4'. v = -5 Simplifying v = -5
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