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Simplifying 5(4v + -6) = 10v Reorder the terms: 5(-6 + 4v) = 10v (-6 * 5 + 4v * 5) = 10v (-30 + 20v) = 10v Solving -30 + 20v = 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. -30 + 20v + -10v = 10v + -10v Combine like terms: 20v + -10v = 10v -30 + 10v = 10v + -10v Combine like terms: 10v + -10v = 0 -30 + 10v = 0 Add '30' to each side of the equation. -30 + 30 + 10v = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 10v = 0 + 30 10v = 0 + 30 Combine like terms: 0 + 30 = 30 10v = 30 Divide each side by '10'. v = 3 Simplifying v = 3
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