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Simplifying 3v + 33 = 7(-3 + 3v) Reorder the terms: 33 + 3v = 7(-3 + 3v) 33 + 3v = (-3 * 7 + 3v * 7) 33 + 3v = (-21 + 21v) Solving 33 + 3v = -21 + 21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21v' to each side of the equation. 33 + 3v + -21v = -21 + 21v + -21v Combine like terms: 3v + -21v = -18v 33 + -18v = -21 + 21v + -21v Combine like terms: 21v + -21v = 0 33 + -18v = -21 + 0 33 + -18v = -21 Add '-33' to each side of the equation. 33 + -33 + -18v = -21 + -33 Combine like terms: 33 + -33 = 0 0 + -18v = -21 + -33 -18v = -21 + -33 Combine like terms: -21 + -33 = -54 -18v = -54 Divide each side by '-18'. v = 3 Simplifying v = 3
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