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Simplifying 4(2w + -6) + v = 2 + 2v + -1w Reorder the terms: 4(-6 + 2w) + v = 2 + 2v + -1w (-6 * 4 + 2w * 4) + v = 2 + 2v + -1w (-24 + 8w) + v = 2 + 2v + -1w Reorder the terms: -24 + v + 8w = 2 + 2v + -1w Solving -24 + v + 8w = 2 + 2v + -1w 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. -24 + v + -2v + 8w = 2 + 2v + -2v + -1w Combine like terms: v + -2v = -1v -24 + -1v + 8w = 2 + 2v + -2v + -1w Combine like terms: 2v + -2v = 0 -24 + -1v + 8w = 2 + 0 + -1w -24 + -1v + 8w = 2 + -1w Add '24' to each side of the equation. -24 + -1v + 24 + 8w = 2 + 24 + -1w Reorder the terms: -24 + 24 + -1v + 8w = 2 + 24 + -1w Combine like terms: -24 + 24 = 0 0 + -1v + 8w = 2 + 24 + -1w -1v + 8w = 2 + 24 + -1w Combine like terms: 2 + 24 = 26 -1v + 8w = 26 + -1w Add '-8w' to each side of the equation. -1v + 8w + -8w = 26 + -1w + -8w Combine like terms: 8w + -8w = 0 -1v + 0 = 26 + -1w + -8w -1v = 26 + -1w + -8w Combine like terms: -1w + -8w = -9w -1v = 26 + -9w Divide each side by '-1'. v = -26 + 9w Simplifying v = -26 + 9w
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