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Simplifying -15 = 5(3v + -10) + -5v Reorder the terms: -15 = 5(-10 + 3v) + -5v -15 = (-10 * 5 + 3v * 5) + -5v -15 = (-50 + 15v) + -5v Combine like terms: 15v + -5v = 10v -15 = -50 + 10v Solving -15 = -50 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. -15 + -10v = -50 + 10v + -10v Combine like terms: 10v + -10v = 0 -15 + -10v = -50 + 0 -15 + -10v = -50 Add '15' to each side of the equation. -15 + 15 + -10v = -50 + 15 Combine like terms: -15 + 15 = 0 0 + -10v = -50 + 15 -10v = -50 + 15 Combine like terms: -50 + 15 = -35 -10v = -35 Divide each side by '-10'. v = 3.5 Simplifying v = 3.5
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