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Simplifying -6 + -8(-5v + 3) = -2v + -30 Reorder the terms: -6 + -8(3 + -5v) = -2v + -30 -6 + (3 * -8 + -5v * -8) = -2v + -30 -6 + (-24 + 40v) = -2v + -30 Combine like terms: -6 + -24 = -30 -30 + 40v = -2v + -30 Reorder the terms: -30 + 40v = -30 + -2v Add '30' to each side of the equation. -30 + 30 + 40v = -30 + 30 + -2v Combine like terms: -30 + 30 = 0 0 + 40v = -30 + 30 + -2v 40v = -30 + 30 + -2v Combine like terms: -30 + 30 = 0 40v = 0 + -2v 40v = -2v Solving 40v = -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 40v + 2v = -2v + 2v Combine like terms: 40v + 2v = 42v 42v = -2v + 2v Combine like terms: -2v + 2v = 0 42v = 0 Divide each side by '42'. v = 0 Simplifying v = 0
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