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Simplifying 5(v + -3) = -5v + 45 Reorder the terms: 5(-3 + v) = -5v + 45 (-3 * 5 + v * 5) = -5v + 45 (-15 + 5v) = -5v + 45 Reorder the terms: -15 + 5v = 45 + -5v Solving -15 + 5v = 45 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -15 + 5v + 5v = 45 + -5v + 5v Combine like terms: 5v + 5v = 10v -15 + 10v = 45 + -5v + 5v Combine like terms: -5v + 5v = 0 -15 + 10v = 45 + 0 -15 + 10v = 45 Add '15' to each side of the equation. -15 + 15 + 10v = 45 + 15 Combine like terms: -15 + 15 = 0 0 + 10v = 45 + 15 10v = 45 + 15 Combine like terms: 45 + 15 = 60 10v = 60 Divide each side by '10'. v = 6 Simplifying v = 6
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