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Simplifying 6v + 32 = 6(1 + 2v) + 8 Reorder the terms: 32 + 6v = 6(1 + 2v) + 8 32 + 6v = (1 * 6 + 2v * 6) + 8 32 + 6v = (6 + 12v) + 8 Reorder the terms: 32 + 6v = 6 + 8 + 12v Combine like terms: 6 + 8 = 14 32 + 6v = 14 + 12v Solving 32 + 6v = 14 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 32 + 6v + -12v = 14 + 12v + -12v Combine like terms: 6v + -12v = -6v 32 + -6v = 14 + 12v + -12v Combine like terms: 12v + -12v = 0 32 + -6v = 14 + 0 32 + -6v = 14 Add '-32' to each side of the equation. 32 + -32 + -6v = 14 + -32 Combine like terms: 32 + -32 = 0 0 + -6v = 14 + -32 -6v = 14 + -32 Combine like terms: 14 + -32 = -18 -6v = -18 Divide each side by '-6'. v = 3 Simplifying v = 3
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