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Simplifying 4(10v + 6) = -2(-9v + 10) Reorder the terms: 4(6 + 10v) = -2(-9v + 10) (6 * 4 + 10v * 4) = -2(-9v + 10) (24 + 40v) = -2(-9v + 10) Reorder the terms: 24 + 40v = -2(10 + -9v) 24 + 40v = (10 * -2 + -9v * -2) 24 + 40v = (-20 + 18v) Solving 24 + 40v = -20 + 18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18v' to each side of the equation. 24 + 40v + -18v = -20 + 18v + -18v Combine like terms: 40v + -18v = 22v 24 + 22v = -20 + 18v + -18v Combine like terms: 18v + -18v = 0 24 + 22v = -20 + 0 24 + 22v = -20 Add '-24' to each side of the equation. 24 + -24 + 22v = -20 + -24 Combine like terms: 24 + -24 = 0 0 + 22v = -20 + -24 22v = -20 + -24 Combine like terms: -20 + -24 = -44 22v = -44 Divide each side by '22'. v = -2 Simplifying v = -2
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