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Simplifying -32 + -5v = 2(-8v + -3) + -2v Reorder the terms: -32 + -5v = 2(-3 + -8v) + -2v -32 + -5v = (-3 * 2 + -8v * 2) + -2v -32 + -5v = (-6 + -16v) + -2v Combine like terms: -16v + -2v = -18v -32 + -5v = -6 + -18v Solving -32 + -5v = -6 + -18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '18v' to each side of the equation. -32 + -5v + 18v = -6 + -18v + 18v Combine like terms: -5v + 18v = 13v -32 + 13v = -6 + -18v + 18v Combine like terms: -18v + 18v = 0 -32 + 13v = -6 + 0 -32 + 13v = -6 Add '32' to each side of the equation. -32 + 32 + 13v = -6 + 32 Combine like terms: -32 + 32 = 0 0 + 13v = -6 + 32 13v = -6 + 32 Combine like terms: -6 + 32 = 26 13v = 26 Divide each side by '13'. v = 2 Simplifying v = 2
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