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