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Simplifying 7(v + 5) = 3v + 27 Reorder the terms: 7(5 + v) = 3v + 27 (5 * 7 + v * 7) = 3v + 27 (35 + 7v) = 3v + 27 Reorder the terms: 35 + 7v = 27 + 3v Solving 35 + 7v = 27 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 35 + 7v + -3v = 27 + 3v + -3v Combine like terms: 7v + -3v = 4v 35 + 4v = 27 + 3v + -3v Combine like terms: 3v + -3v = 0 35 + 4v = 27 + 0 35 + 4v = 27 Add '-35' to each side of the equation. 35 + -35 + 4v = 27 + -35 Combine like terms: 35 + -35 = 0 0 + 4v = 27 + -35 4v = 27 + -35 Combine like terms: 27 + -35 = -8 4v = -8 Divide each side by '4'. v = -2 Simplifying v = -2
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