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Simplifying -9v + 33 = 6(v + 8) Reorder the terms: 33 + -9v = 6(v + 8) Reorder the terms: 33 + -9v = 6(8 + v) 33 + -9v = (8 * 6 + v * 6) 33 + -9v = (48 + 6v) Solving 33 + -9v = 48 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 33 + -9v + -6v = 48 + 6v + -6v Combine like terms: -9v + -6v = -15v 33 + -15v = 48 + 6v + -6v Combine like terms: 6v + -6v = 0 33 + -15v = 48 + 0 33 + -15v = 48 Add '-33' to each side of the equation. 33 + -33 + -15v = 48 + -33 Combine like terms: 33 + -33 = 0 0 + -15v = 48 + -33 -15v = 48 + -33 Combine like terms: 48 + -33 = 15 -15v = 15 Divide each side by '-15'. v = -1 Simplifying v = -1
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