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Simplifying 2v + -16 = 8(v + 1) Reorder the terms: -16 + 2v = 8(v + 1) Reorder the terms: -16 + 2v = 8(1 + v) -16 + 2v = (1 * 8 + v * 8) -16 + 2v = (8 + 8v) Solving -16 + 2v = 8 + 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 + 2v + -8v = 8 + 8v + -8v Combine like terms: 2v + -8v = -6v -16 + -6v = 8 + 8v + -8v Combine like terms: 8v + -8v = 0 -16 + -6v = 8 + 0 -16 + -6v = 8 Add '16' to each side of the equation. -16 + 16 + -6v = 8 + 16 Combine like terms: -16 + 16 = 0 0 + -6v = 8 + 16 -6v = 8 + 16 Combine like terms: 8 + 16 = 24 -6v = 24 Divide each side by '-6'. v = -4 Simplifying v = -4
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