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Simplifying 3(v + 6) + -7v = 0 Reorder the terms: 3(6 + v) + -7v = 0 (6 * 3 + v * 3) + -7v = 0 (18 + 3v) + -7v = 0 Combine like terms: 3v + -7v = -4v 18 + -4v = 0 Solving 18 + -4v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -4v = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -4v = 0 + -18 -4v = 0 + -18 Combine like terms: 0 + -18 = -18 -4v = -18 Divide each side by '-4'. v = 4.5 Simplifying v = 4.5
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