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Simplifying 15 + -1(6v + 3) = 6v + -12 Reorder the terms: 15 + -1(3 + 6v) = 6v + -12 15 + (3 * -1 + 6v * -1) = 6v + -12 15 + (-3 + -6v) = 6v + -12 Combine like terms: 15 + -3 = 12 12 + -6v = 6v + -12 Reorder the terms: 12 + -6v = -12 + 6v Solving 12 + -6v = -12 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 12 + -6v + -6v = -12 + 6v + -6v Combine like terms: -6v + -6v = -12v 12 + -12v = -12 + 6v + -6v Combine like terms: 6v + -6v = 0 12 + -12v = -12 + 0 12 + -12v = -12 Add '-12' to each side of the equation. 12 + -12 + -12v = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -12v = -12 + -12 -12v = -12 + -12 Combine like terms: -12 + -12 = -24 -12v = -24 Divide each side by '-12'. v = 2 Simplifying v = 2
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