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Simplifying 22 + -5(6v + -1) = -33 Reorder the terms: 22 + -5(-1 + 6v) = -33 22 + (-1 * -5 + 6v * -5) = -33 22 + (5 + -30v) = -33 Combine like terms: 22 + 5 = 27 27 + -30v = -33 Solving 27 + -30v = -33 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -30v = -33 + -27 Combine like terms: 27 + -27 = 0 0 + -30v = -33 + -27 -30v = -33 + -27 Combine like terms: -33 + -27 = -60 -30v = -60 Divide each side by '-30'. v = 2 Simplifying v = 2
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