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Simplifying 4(v + 3) + -6v = 8 Reorder the terms: 4(3 + v) + -6v = 8 (3 * 4 + v * 4) + -6v = 8 (12 + 4v) + -6v = 8 Combine like terms: 4v + -6v = -2v 12 + -2v = 8 Solving 12 + -2v = 8 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -2v = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -2v = 8 + -12 -2v = 8 + -12 Combine like terms: 8 + -12 = -4 -2v = -4 Divide each side by '-2'. v = 2 Simplifying v = 2
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