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Simplifying 46 = 10 + -3(2v + -4) Reorder the terms: 46 = 10 + -3(-4 + 2v) 46 = 10 + (-4 * -3 + 2v * -3) 46 = 10 + (12 + -6v) Combine like terms: 10 + 12 = 22 46 = 22 + -6v Solving 46 = 22 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 46 + 6v = 22 + -6v + 6v Combine like terms: -6v + 6v = 0 46 + 6v = 22 + 0 46 + 6v = 22 Add '-46' to each side of the equation. 46 + -46 + 6v = 22 + -46 Combine like terms: 46 + -46 = 0 0 + 6v = 22 + -46 6v = 22 + -46 Combine like terms: 22 + -46 = -24 6v = -24 Divide each side by '6'. v = -4 Simplifying v = -4
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