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Simplifying -2(v + -8) = 6v + -48 Reorder the terms: -2(-8 + v) = 6v + -48 (-8 * -2 + v * -2) = 6v + -48 (16 + -2v) = 6v + -48 Reorder the terms: 16 + -2v = -48 + 6v Solving 16 + -2v = -48 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 16 + -2v + -6v = -48 + 6v + -6v Combine like terms: -2v + -6v = -8v 16 + -8v = -48 + 6v + -6v Combine like terms: 6v + -6v = 0 16 + -8v = -48 + 0 16 + -8v = -48 Add '-16' to each side of the equation. 16 + -16 + -8v = -48 + -16 Combine like terms: 16 + -16 = 0 0 + -8v = -48 + -16 -8v = -48 + -16 Combine like terms: -48 + -16 = -64 -8v = -64 Divide each side by '-8'. v = 8 Simplifying v = 8
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