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Simplifying 5 + -1(v + -4) = 2v + 33 Reorder the terms: 5 + -1(-4 + v) = 2v + 33 5 + (-4 * -1 + v * -1) = 2v + 33 5 + (4 + -1v) = 2v + 33 Combine like terms: 5 + 4 = 9 9 + -1v = 2v + 33 Reorder the terms: 9 + -1v = 33 + 2v Solving 9 + -1v = 33 + 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. 9 + -1v + -2v = 33 + 2v + -2v Combine like terms: -1v + -2v = -3v 9 + -3v = 33 + 2v + -2v Combine like terms: 2v + -2v = 0 9 + -3v = 33 + 0 9 + -3v = 33 Add '-9' to each side of the equation. 9 + -9 + -3v = 33 + -9 Combine like terms: 9 + -9 = 0 0 + -3v = 33 + -9 -3v = 33 + -9 Combine like terms: 33 + -9 = 24 -3v = 24 Divide each side by '-3'. v = -8 Simplifying v = -8
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