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Simplifying 3(v + 6) = 7v + 6 Reorder the terms: 3(6 + v) = 7v + 6 (6 * 3 + v * 3) = 7v + 6 (18 + 3v) = 7v + 6 Reorder the terms: 18 + 3v = 6 + 7v Solving 18 + 3v = 6 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 18 + 3v + -7v = 6 + 7v + -7v Combine like terms: 3v + -7v = -4v 18 + -4v = 6 + 7v + -7v Combine like terms: 7v + -7v = 0 18 + -4v = 6 + 0 18 + -4v = 6 Add '-18' to each side of the equation. 18 + -18 + -4v = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -4v = 6 + -18 -4v = 6 + -18 Combine like terms: 6 + -18 = -12 -4v = -12 Divide each side by '-4'. v = 3 Simplifying v = 3
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