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Simplifying -3v + 15 = 8(v + 6) Reorder the terms: 15 + -3v = 8(v + 6) Reorder the terms: 15 + -3v = 8(6 + v) 15 + -3v = (6 * 8 + v * 8) 15 + -3v = (48 + 8v) Solving 15 + -3v = 48 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 15 + -3v + -8v = 48 + 8v + -8v Combine like terms: -3v + -8v = -11v 15 + -11v = 48 + 8v + -8v Combine like terms: 8v + -8v = 0 15 + -11v = 48 + 0 15 + -11v = 48 Add '-15' to each side of the equation. 15 + -15 + -11v = 48 + -15 Combine like terms: 15 + -15 = 0 0 + -11v = 48 + -15 -11v = 48 + -15 Combine like terms: 48 + -15 = 33 -11v = 33 Divide each side by '-11'. v = -3 Simplifying v = -3
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