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Simplifying 8(-3 + 2v) = -33 + 7v (-3 * 8 + 2v * 8) = -33 + 7v (-24 + 16v) = -33 + 7v Solving -24 + 16v = -33 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -24 + 16v + -7v = -33 + 7v + -7v Combine like terms: 16v + -7v = 9v -24 + 9v = -33 + 7v + -7v Combine like terms: 7v + -7v = 0 -24 + 9v = -33 + 0 -24 + 9v = -33 Add '24' to each side of the equation. -24 + 24 + 9v = -33 + 24 Combine like terms: -24 + 24 = 0 0 + 9v = -33 + 24 9v = -33 + 24 Combine like terms: -33 + 24 = -9 9v = -9 Divide each side by '9'. v = -1 Simplifying v = -1
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