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Simplifying -2v + -18 = 4(8 + -3v) Reorder the terms: -18 + -2v = 4(8 + -3v) -18 + -2v = (8 * 4 + -3v * 4) -18 + -2v = (32 + -12v) Solving -18 + -2v = 32 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. -18 + -2v + 12v = 32 + -12v + 12v Combine like terms: -2v + 12v = 10v -18 + 10v = 32 + -12v + 12v Combine like terms: -12v + 12v = 0 -18 + 10v = 32 + 0 -18 + 10v = 32 Add '18' to each side of the equation. -18 + 18 + 10v = 32 + 18 Combine like terms: -18 + 18 = 0 0 + 10v = 32 + 18 10v = 32 + 18 Combine like terms: 32 + 18 = 50 10v = 50 Divide each side by '10'. v = 5 Simplifying v = 5
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