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Simplifying 3(-6v + -1) = -33 + -8v Reorder the terms: 3(-1 + -6v) = -33 + -8v (-1 * 3 + -6v * 3) = -33 + -8v (-3 + -18v) = -33 + -8v Solving -3 + -18v = -33 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -3 + -18v + 8v = -33 + -8v + 8v Combine like terms: -18v + 8v = -10v -3 + -10v = -33 + -8v + 8v Combine like terms: -8v + 8v = 0 -3 + -10v = -33 + 0 -3 + -10v = -33 Add '3' to each side of the equation. -3 + 3 + -10v = -33 + 3 Combine like terms: -3 + 3 = 0 0 + -10v = -33 + 3 -10v = -33 + 3 Combine like terms: -33 + 3 = -30 -10v = -30 Divide each side by '-10'. v = 3 Simplifying v = 3
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