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Simplifying -4(v + 8) = -1(v + 8) Reorder the terms: -4(8 + v) = -1(v + 8) (8 * -4 + v * -4) = -1(v + 8) (-32 + -4v) = -1(v + 8) Reorder the terms: -32 + -4v = -1(8 + v) -32 + -4v = (8 * -1 + v * -1) -32 + -4v = (-8 + -1v) Solving -32 + -4v = -8 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. -32 + -4v + v = -8 + -1v + v Combine like terms: -4v + v = -3v -32 + -3v = -8 + -1v + v Combine like terms: -1v + v = 0 -32 + -3v = -8 + 0 -32 + -3v = -8 Add '32' to each side of the equation. -32 + 32 + -3v = -8 + 32 Combine like terms: -32 + 32 = 0 0 + -3v = -8 + 32 -3v = -8 + 32 Combine like terms: -8 + 32 = 24 -3v = 24 Divide each side by '-3'. v = -8 Simplifying v = -8
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