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Simplifying -6(-3 + v) + 4(v + 3) = 0 (-3 * -6 + v * -6) + 4(v + 3) = 0 (18 + -6v) + 4(v + 3) = 0 Reorder the terms: 18 + -6v + 4(3 + v) = 0 18 + -6v + (3 * 4 + v * 4) = 0 18 + -6v + (12 + 4v) = 0 Reorder the terms: 18 + 12 + -6v + 4v = 0 Combine like terms: 18 + 12 = 30 30 + -6v + 4v = 0 Combine like terms: -6v + 4v = -2v 30 + -2v = 0 Solving 30 + -2v = 0 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 + -2v = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -2v = 0 + -30 -2v = 0 + -30 Combine like terms: 0 + -30 = -30 -2v = -30 Divide each side by '-2'. v = 15 Simplifying v = 15
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