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Simplifying -5(2 + 4v) = -2(-10 + 15v) (2 * -5 + 4v * -5) = -2(-10 + 15v) (-10 + -20v) = -2(-10 + 15v) -10 + -20v = (-10 * -2 + 15v * -2) -10 + -20v = (20 + -30v) Solving -10 + -20v = 20 + -30v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '30v' to each side of the equation. -10 + -20v + 30v = 20 + -30v + 30v Combine like terms: -20v + 30v = 10v -10 + 10v = 20 + -30v + 30v Combine like terms: -30v + 30v = 0 -10 + 10v = 20 + 0 -10 + 10v = 20 Add '10' to each side of the equation. -10 + 10 + 10v = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 10v = 20 + 10 10v = 20 + 10 Combine like terms: 20 + 10 = 30 10v = 30 Divide each side by '10'. v = 3 Simplifying v = 3
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