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Simplifying 5(5 + 5v) + 7v = -11 + -4v (5 * 5 + 5v * 5) + 7v = -11 + -4v (25 + 25v) + 7v = -11 + -4v Combine like terms: 25v + 7v = 32v 25 + 32v = -11 + -4v Solving 25 + 32v = -11 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 25 + 32v + 4v = -11 + -4v + 4v Combine like terms: 32v + 4v = 36v 25 + 36v = -11 + -4v + 4v Combine like terms: -4v + 4v = 0 25 + 36v = -11 + 0 25 + 36v = -11 Add '-25' to each side of the equation. 25 + -25 + 36v = -11 + -25 Combine like terms: 25 + -25 = 0 0 + 36v = -11 + -25 36v = -11 + -25 Combine like terms: -11 + -25 = -36 36v = -36 Divide each side by '36'. v = -1 Simplifying v = -1
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