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Simplifying 17 + 11v = 8 + 4(-7 + 12v) 17 + 11v = 8 + (-7 * 4 + 12v * 4) 17 + 11v = 8 + (-28 + 48v) Combine like terms: 8 + -28 = -20 17 + 11v = -20 + 48v Solving 17 + 11v = -20 + 48v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-48v' to each side of the equation. 17 + 11v + -48v = -20 + 48v + -48v Combine like terms: 11v + -48v = -37v 17 + -37v = -20 + 48v + -48v Combine like terms: 48v + -48v = 0 17 + -37v = -20 + 0 17 + -37v = -20 Add '-17' to each side of the equation. 17 + -17 + -37v = -20 + -17 Combine like terms: 17 + -17 = 0 0 + -37v = -20 + -17 -37v = -20 + -17 Combine like terms: -20 + -17 = -37 -37v = -37 Divide each side by '-37'. v = 1 Simplifying v = 1
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