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Simplifying 5(v + -2) = -5v + 30 Reorder the terms: 5(-2 + v) = -5v + 30 (-2 * 5 + v * 5) = -5v + 30 (-10 + 5v) = -5v + 30 Reorder the terms: -10 + 5v = 30 + -5v Solving -10 + 5v = 30 + -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. -10 + 5v + 5v = 30 + -5v + 5v Combine like terms: 5v + 5v = 10v -10 + 10v = 30 + -5v + 5v Combine like terms: -5v + 5v = 0 -10 + 10v = 30 + 0 -10 + 10v = 30 Add '10' to each side of the equation. -10 + 10 + 10v = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 10v = 30 + 10 10v = 30 + 10 Combine like terms: 30 + 10 = 40 10v = 40 Divide each side by '10'. v = 4 Simplifying v = 4
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