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Simplifying -3 + -7(v + -4) = 17 + -8v Reorder the terms: -3 + -7(-4 + v) = 17 + -8v -3 + (-4 * -7 + v * -7) = 17 + -8v -3 + (28 + -7v) = 17 + -8v Combine like terms: -3 + 28 = 25 25 + -7v = 17 + -8v Solving 25 + -7v = 17 + -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. 25 + -7v + 8v = 17 + -8v + 8v Combine like terms: -7v + 8v = 1v 25 + 1v = 17 + -8v + 8v Combine like terms: -8v + 8v = 0 25 + 1v = 17 + 0 25 + 1v = 17 Add '-25' to each side of the equation. 25 + -25 + 1v = 17 + -25 Combine like terms: 25 + -25 = 0 0 + 1v = 17 + -25 1v = 17 + -25 Combine like terms: 17 + -25 = -8 1v = -8 Divide each side by '1'. v = -8 Simplifying v = -8
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