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Simplifying 3(v + 9) + -7v = -5 Reorder the terms: 3(9 + v) + -7v = -5 (9 * 3 + v * 3) + -7v = -5 (27 + 3v) + -7v = -5 Combine like terms: 3v + -7v = -4v 27 + -4v = -5 Solving 27 + -4v = -5 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -4v = -5 + -27 Combine like terms: 27 + -27 = 0 0 + -4v = -5 + -27 -4v = -5 + -27 Combine like terms: -5 + -27 = -32 -4v = -32 Divide each side by '-4'. v = 8 Simplifying v = 8
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