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Simplifying 2v + -4 = 8(v + 1) Reorder the terms: -4 + 2v = 8(v + 1) Reorder the terms: -4 + 2v = 8(1 + v) -4 + 2v = (1 * 8 + v * 8) -4 + 2v = (8 + 8v) Solving -4 + 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. -4 + 2v + -8v = 8 + 8v + -8v Combine like terms: 2v + -8v = -6v -4 + -6v = 8 + 8v + -8v Combine like terms: 8v + -8v = 0 -4 + -6v = 8 + 0 -4 + -6v = 8 Add '4' to each side of the equation. -4 + 4 + -6v = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -6v = 8 + 4 -6v = 8 + 4 Combine like terms: 8 + 4 = 12 -6v = 12 Divide each side by '-6'. v = -2 Simplifying v = -2
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