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Simplifying 57 = -3(4v + 1) + 2v Reorder the terms: 57 = -3(1 + 4v) + 2v 57 = (1 * -3 + 4v * -3) + 2v 57 = (-3 + -12v) + 2v Combine like terms: -12v + 2v = -10v 57 = -3 + -10v Solving 57 = -3 + -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. 57 + 10v = -3 + -10v + 10v Combine like terms: -10v + 10v = 0 57 + 10v = -3 + 0 57 + 10v = -3 Add '-57' to each side of the equation. 57 + -57 + 10v = -3 + -57 Combine like terms: 57 + -57 = 0 0 + 10v = -3 + -57 10v = -3 + -57 Combine like terms: -3 + -57 = -60 10v = -60 Divide each side by '10'. v = -6 Simplifying v = -6
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