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Simplifying 8(v + 6) = -8v + 16 Reorder the terms: 8(6 + v) = -8v + 16 (6 * 8 + v * 8) = -8v + 16 (48 + 8v) = -8v + 16 Reorder the terms: 48 + 8v = 16 + -8v Solving 48 + 8v = 16 + -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. 48 + 8v + 8v = 16 + -8v + 8v Combine like terms: 8v + 8v = 16v 48 + 16v = 16 + -8v + 8v Combine like terms: -8v + 8v = 0 48 + 16v = 16 + 0 48 + 16v = 16 Add '-48' to each side of the equation. 48 + -48 + 16v = 16 + -48 Combine like terms: 48 + -48 = 0 0 + 16v = 16 + -48 16v = 16 + -48 Combine like terms: 16 + -48 = -32 16v = -32 Divide each side by '16'. v = -2 Simplifying v = -2
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