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Simplifying 6v + 17 = -5(v + 1) Reorder the terms: 17 + 6v = -5(v + 1) Reorder the terms: 17 + 6v = -5(1 + v) 17 + 6v = (1 * -5 + v * -5) 17 + 6v = (-5 + -5v) Solving 17 + 6v = -5 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 17 + 6v + 5v = -5 + -5v + 5v Combine like terms: 6v + 5v = 11v 17 + 11v = -5 + -5v + 5v Combine like terms: -5v + 5v = 0 17 + 11v = -5 + 0 17 + 11v = -5 Add '-17' to each side of the equation. 17 + -17 + 11v = -5 + -17 Combine like terms: 17 + -17 = 0 0 + 11v = -5 + -17 11v = -5 + -17 Combine like terms: -5 + -17 = -22 11v = -22 Divide each side by '11'. v = -2 Simplifying v = -2
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