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Simplifying -1v + -4(6v + 2) = -30 + -3v Reorder the terms: -1v + -4(2 + 6v) = -30 + -3v -1v + (2 * -4 + 6v * -4) = -30 + -3v -1v + (-8 + -24v) = -30 + -3v Reorder the terms: -8 + -1v + -24v = -30 + -3v Combine like terms: -1v + -24v = -25v -8 + -25v = -30 + -3v Solving -8 + -25v = -30 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -8 + -25v + 3v = -30 + -3v + 3v Combine like terms: -25v + 3v = -22v -8 + -22v = -30 + -3v + 3v Combine like terms: -3v + 3v = 0 -8 + -22v = -30 + 0 -8 + -22v = -30 Add '8' to each side of the equation. -8 + 8 + -22v = -30 + 8 Combine like terms: -8 + 8 = 0 0 + -22v = -30 + 8 -22v = -30 + 8 Combine like terms: -30 + 8 = -22 -22v = -22 Divide each side by '-22'. v = 1 Simplifying v = 1
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