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Simplifying -8v + 16 = 8(v + -6) Reorder the terms: 16 + -8v = 8(v + -6) Reorder the terms: 16 + -8v = 8(-6 + v) 16 + -8v = (-6 * 8 + v * 8) 16 + -8v = (-48 + 8v) Solving 16 + -8v = -48 + 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. 16 + -8v + -8v = -48 + 8v + -8v Combine like terms: -8v + -8v = -16v 16 + -16v = -48 + 8v + -8v Combine like terms: 8v + -8v = 0 16 + -16v = -48 + 0 16 + -16v = -48 Add '-16' to each side of the equation. 16 + -16 + -16v = -48 + -16 Combine like terms: 16 + -16 = 0 0 + -16v = -48 + -16 -16v = -48 + -16 Combine like terms: -48 + -16 = -64 -16v = -64 Divide each side by '-16'. v = 4 Simplifying v = 4
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