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Simplifying -3v + -32 = -5(v + 6) Reorder the terms: -32 + -3v = -5(v + 6) Reorder the terms: -32 + -3v = -5(6 + v) -32 + -3v = (6 * -5 + v * -5) -32 + -3v = (-30 + -5v) Solving -32 + -3v = -30 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -32 + -3v + 5v = -30 + -5v + 5v Combine like terms: -3v + 5v = 2v -32 + 2v = -30 + -5v + 5v Combine like terms: -5v + 5v = 0 -32 + 2v = -30 + 0 -32 + 2v = -30 Add '32' to each side of the equation. -32 + 32 + 2v = -30 + 32 Combine like terms: -32 + 32 = 0 0 + 2v = -30 + 32 2v = -30 + 32 Combine like terms: -30 + 32 = 2 2v = 2 Divide each side by '2'. v = 1 Simplifying v = 1
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