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Simplifying -5v + 27 = 3(4v + 1) + 7v Reorder the terms: 27 + -5v = 3(4v + 1) + 7v Reorder the terms: 27 + -5v = 3(1 + 4v) + 7v 27 + -5v = (1 * 3 + 4v * 3) + 7v 27 + -5v = (3 + 12v) + 7v Combine like terms: 12v + 7v = 19v 27 + -5v = 3 + 19v Solving 27 + -5v = 3 + 19v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-19v' to each side of the equation. 27 + -5v + -19v = 3 + 19v + -19v Combine like terms: -5v + -19v = -24v 27 + -24v = 3 + 19v + -19v Combine like terms: 19v + -19v = 0 27 + -24v = 3 + 0 27 + -24v = 3 Add '-27' to each side of the equation. 27 + -27 + -24v = 3 + -27 Combine like terms: 27 + -27 = 0 0 + -24v = 3 + -27 -24v = 3 + -27 Combine like terms: 3 + -27 = -24 -24v = -24 Divide each side by '-24'. v = 1 Simplifying v = 1
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