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Simplifying 7v + -17 = -5(v + 1) Reorder the terms: -17 + 7v = -5(v + 1) Reorder the terms: -17 + 7v = -5(1 + v) -17 + 7v = (1 * -5 + v * -5) -17 + 7v = (-5 + -5v) Solving -17 + 7v = -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 + 7v + 5v = -5 + -5v + 5v Combine like terms: 7v + 5v = 12v -17 + 12v = -5 + -5v + 5v Combine like terms: -5v + 5v = 0 -17 + 12v = -5 + 0 -17 + 12v = -5 Add '17' to each side of the equation. -17 + 17 + 12v = -5 + 17 Combine like terms: -17 + 17 = 0 0 + 12v = -5 + 17 12v = -5 + 17 Combine like terms: -5 + 17 = 12 12v = 12 Divide each side by '12'. v = 1 Simplifying v = 1
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