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Simplifying -18v + -7 = 7(-3v + -7) Reorder the terms: -7 + -18v = 7(-3v + -7) Reorder the terms: -7 + -18v = 7(-7 + -3v) -7 + -18v = (-7 * 7 + -3v * 7) -7 + -18v = (-49 + -21v) Solving -7 + -18v = -49 + -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. -7 + -18v + 21v = -49 + -21v + 21v Combine like terms: -18v + 21v = 3v -7 + 3v = -49 + -21v + 21v Combine like terms: -21v + 21v = 0 -7 + 3v = -49 + 0 -7 + 3v = -49 Add '7' to each side of the equation. -7 + 7 + 3v = -49 + 7 Combine like terms: -7 + 7 = 0 0 + 3v = -49 + 7 3v = -49 + 7 Combine like terms: -49 + 7 = -42 3v = -42 Divide each side by '3'. v = -14 Simplifying v = -14
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