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Simplifying 2v + -32 = -8(v + -1) Reorder the terms: -32 + 2v = -8(v + -1) Reorder the terms: -32 + 2v = -8(-1 + v) -32 + 2v = (-1 * -8 + v * -8) -32 + 2v = (8 + -8v) Solving -32 + 2v = 8 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -32 + 2v + 8v = 8 + -8v + 8v Combine like terms: 2v + 8v = 10v -32 + 10v = 8 + -8v + 8v Combine like terms: -8v + 8v = 0 -32 + 10v = 8 + 0 -32 + 10v = 8 Add '32' to each side of the equation. -32 + 32 + 10v = 8 + 32 Combine like terms: -32 + 32 = 0 0 + 10v = 8 + 32 10v = 8 + 32 Combine like terms: 8 + 32 = 40 10v = 40 Divide each side by '10'. v = 4 Simplifying v = 4
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