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Simplifying 33 + 7v = -8(2v + 6) Reorder the terms: 33 + 7v = -8(6 + 2v) 33 + 7v = (6 * -8 + 2v * -8) 33 + 7v = (-48 + -16v) Solving 33 + 7v = -48 + -16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16v' to each side of the equation. 33 + 7v + 16v = -48 + -16v + 16v Combine like terms: 7v + 16v = 23v 33 + 23v = -48 + -16v + 16v Combine like terms: -16v + 16v = 0 33 + 23v = -48 + 0 33 + 23v = -48 Add '-33' to each side of the equation. 33 + -33 + 23v = -48 + -33 Combine like terms: 33 + -33 = 0 0 + 23v = -48 + -33 23v = -48 + -33 Combine like terms: -48 + -33 = -81 23v = -81 Divide each side by '23'. v = -3.52173913 Simplifying v = -3.52173913
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