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Simplifying 33 + -6v = -7v + 3(1 + -3v) 33 + -6v = -7v + (1 * 3 + -3v * 3) 33 + -6v = -7v + (3 + -9v) Reorder the terms: 33 + -6v = 3 + -7v + -9v Combine like terms: -7v + -9v = -16v 33 + -6v = 3 + -16v Solving 33 + -6v = 3 + -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 + -6v + 16v = 3 + -16v + 16v Combine like terms: -6v + 16v = 10v 33 + 10v = 3 + -16v + 16v Combine like terms: -16v + 16v = 0 33 + 10v = 3 + 0 33 + 10v = 3 Add '-33' to each side of the equation. 33 + -33 + 10v = 3 + -33 Combine like terms: 33 + -33 = 0 0 + 10v = 3 + -33 10v = 3 + -33 Combine like terms: 3 + -33 = -30 10v = -30 Divide each side by '10'. v = -3 Simplifying v = -3
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