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Simplifying -8v + 18 = 3(v + -5) Reorder the terms: 18 + -8v = 3(v + -5) Reorder the terms: 18 + -8v = 3(-5 + v) 18 + -8v = (-5 * 3 + v * 3) 18 + -8v = (-15 + 3v) Solving 18 + -8v = -15 + 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. 18 + -8v + -3v = -15 + 3v + -3v Combine like terms: -8v + -3v = -11v 18 + -11v = -15 + 3v + -3v Combine like terms: 3v + -3v = 0 18 + -11v = -15 + 0 18 + -11v = -15 Add '-18' to each side of the equation. 18 + -18 + -11v = -15 + -18 Combine like terms: 18 + -18 = 0 0 + -11v = -15 + -18 -11v = -15 + -18 Combine like terms: -15 + -18 = -33 -11v = -33 Divide each side by '-11'. v = 3 Simplifying v = 3
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