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Simplifying 3(v + 9) = 7v + 3 Reorder the terms: 3(9 + v) = 7v + 3 (9 * 3 + v * 3) = 7v + 3 (27 + 3v) = 7v + 3 Reorder the terms: 27 + 3v = 3 + 7v Solving 27 + 3v = 3 + 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. 27 + 3v + -7v = 3 + 7v + -7v Combine like terms: 3v + -7v = -4v 27 + -4v = 3 + 7v + -7v Combine like terms: 7v + -7v = 0 27 + -4v = 3 + 0 27 + -4v = 3 Add '-27' to each side of the equation. 27 + -27 + -4v = 3 + -27 Combine like terms: 27 + -27 = 0 0 + -4v = 3 + -27 -4v = 3 + -27 Combine like terms: 3 + -27 = -24 -4v = -24 Divide each side by '-4'. v = 6 Simplifying v = 6
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