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Simplifying -6v + -16 = -4(v + 8) Reorder the terms: -16 + -6v = -4(v + 8) Reorder the terms: -16 + -6v = -4(8 + v) -16 + -6v = (8 * -4 + v * -4) -16 + -6v = (-32 + -4v) Solving -16 + -6v = -32 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -16 + -6v + 4v = -32 + -4v + 4v Combine like terms: -6v + 4v = -2v -16 + -2v = -32 + -4v + 4v Combine like terms: -4v + 4v = 0 -16 + -2v = -32 + 0 -16 + -2v = -32 Add '16' to each side of the equation. -16 + 16 + -2v = -32 + 16 Combine like terms: -16 + 16 = 0 0 + -2v = -32 + 16 -2v = -32 + 16 Combine like terms: -32 + 16 = -16 -2v = -16 Divide each side by '-2'. v = 8 Simplifying v = 8
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