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Simplifying -3v + 30 = -7(3v + 6) Reorder the terms: 30 + -3v = -7(3v + 6) Reorder the terms: 30 + -3v = -7(6 + 3v) 30 + -3v = (6 * -7 + 3v * -7) 30 + -3v = (-42 + -21v) Solving 30 + -3v = -42 + -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. 30 + -3v + 21v = -42 + -21v + 21v Combine like terms: -3v + 21v = 18v 30 + 18v = -42 + -21v + 21v Combine like terms: -21v + 21v = 0 30 + 18v = -42 + 0 30 + 18v = -42 Add '-30' to each side of the equation. 30 + -30 + 18v = -42 + -30 Combine like terms: 30 + -30 = 0 0 + 18v = -42 + -30 18v = -42 + -30 Combine like terms: -42 + -30 = -72 18v = -72 Divide each side by '18'. v = -4 Simplifying v = -4
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