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Simplifying 3(v + 5) + -7v = -17 Reorder the terms: 3(5 + v) + -7v = -17 (5 * 3 + v * 3) + -7v = -17 (15 + 3v) + -7v = -17 Combine like terms: 3v + -7v = -4v 15 + -4v = -17 Solving 15 + -4v = -17 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -4v = -17 + -15 Combine like terms: 15 + -15 = 0 0 + -4v = -17 + -15 -4v = -17 + -15 Combine like terms: -17 + -15 = -32 -4v = -32 Divide each side by '-4'. v = 8 Simplifying v = 8
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