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Simplifying 33 + v = -1(2 + 6v) 33 + v = (2 * -1 + 6v * -1) 33 + v = (-2 + -6v) Solving 33 + v = -2 + -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 + v + 6v = -2 + -6v + 6v Combine like terms: v + 6v = 7v 33 + 7v = -2 + -6v + 6v Combine like terms: -6v + 6v = 0 33 + 7v = -2 + 0 33 + 7v = -2 Add '-33' to each side of the equation. 33 + -33 + 7v = -2 + -33 Combine like terms: 33 + -33 = 0 0 + 7v = -2 + -33 7v = -2 + -33 Combine like terms: -2 + -33 = -35 7v = -35 Divide each side by '7'. v = -5 Simplifying v = -5
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