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Simplifying 5v + -45 = -5(v + -1) Reorder the terms: -45 + 5v = -5(v + -1) Reorder the terms: -45 + 5v = -5(-1 + v) -45 + 5v = (-1 * -5 + v * -5) -45 + 5v = (5 + -5v) Solving -45 + 5v = 5 + -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. -45 + 5v + 5v = 5 + -5v + 5v Combine like terms: 5v + 5v = 10v -45 + 10v = 5 + -5v + 5v Combine like terms: -5v + 5v = 0 -45 + 10v = 5 + 0 -45 + 10v = 5 Add '45' to each side of the equation. -45 + 45 + 10v = 5 + 45 Combine like terms: -45 + 45 = 0 0 + 10v = 5 + 45 10v = 5 + 45 Combine like terms: 5 + 45 = 50 10v = 50 Divide each side by '10'. v = 5 Simplifying v = 5
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