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Simplifying -2v + -15 = -7(v + 5) Reorder the terms: -15 + -2v = -7(v + 5) Reorder the terms: -15 + -2v = -7(5 + v) -15 + -2v = (5 * -7 + v * -7) -15 + -2v = (-35 + -7v) Solving -15 + -2v = -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 + -2v + 7v = -35 + -7v + 7v Combine like terms: -2v + 7v = 5v -15 + 5v = -35 + -7v + 7v Combine like terms: -7v + 7v = 0 -15 + 5v = -35 + 0 -15 + 5v = -35 Add '15' to each side of the equation. -15 + 15 + 5v = -35 + 15 Combine like terms: -15 + 15 = 0 0 + 5v = -35 + 15 5v = -35 + 15 Combine like terms: -35 + 15 = -20 5v = -20 Divide each side by '5'. v = -4 Simplifying v = -4
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