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Simplifying -6(v + 5) = 12 Reorder the terms: -6(5 + v) = 12 (5 * -6 + v * -6) = 12 (-30 + -6v) = 12 Solving -30 + -6v = 12 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -6v = 12 + 30 Combine like terms: -30 + 30 = 0 0 + -6v = 12 + 30 -6v = 12 + 30 Combine like terms: 12 + 30 = 42 -6v = 42 Divide each side by '-6'. v = -7 Simplifying v = -7
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