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Simplifying -23 + 7v = 3(5v + -5) Reorder the terms: -23 + 7v = 3(-5 + 5v) -23 + 7v = (-5 * 3 + 5v * 3) -23 + 7v = (-15 + 15v) Solving -23 + 7v = -15 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. -23 + 7v + -15v = -15 + 15v + -15v Combine like terms: 7v + -15v = -8v -23 + -8v = -15 + 15v + -15v Combine like terms: 15v + -15v = 0 -23 + -8v = -15 + 0 -23 + -8v = -15 Add '23' to each side of the equation. -23 + 23 + -8v = -15 + 23 Combine like terms: -23 + 23 = 0 0 + -8v = -15 + 23 -8v = -15 + 23 Combine like terms: -15 + 23 = 8 -8v = 8 Divide each side by '-8'. v = -1 Simplifying v = -1
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