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Simplifying 3(v + 5) + -5v = 23 Reorder the terms: 3(5 + v) + -5v = 23 (5 * 3 + v * 3) + -5v = 23 (15 + 3v) + -5v = 23 Combine like terms: 3v + -5v = -2v 15 + -2v = 23 Solving 15 + -2v = 23 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 + -2v = 23 + -15 Combine like terms: 15 + -15 = 0 0 + -2v = 23 + -15 -2v = 23 + -15 Combine like terms: 23 + -15 = 8 -2v = 8 Divide each side by '-2'. v = -4 Simplifying v = -4
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