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Simplifying -5 + -3(8 + -1v) = -17 + 7v -5 + (8 * -3 + -1v * -3) = -17 + 7v -5 + (-24 + 3v) = -17 + 7v Combine like terms: -5 + -24 = -29 -29 + 3v = -17 + 7v Solving -29 + 3v = -17 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -29 + 3v + -7v = -17 + 7v + -7v Combine like terms: 3v + -7v = -4v -29 + -4v = -17 + 7v + -7v Combine like terms: 7v + -7v = 0 -29 + -4v = -17 + 0 -29 + -4v = -17 Add '29' to each side of the equation. -29 + 29 + -4v = -17 + 29 Combine like terms: -29 + 29 = 0 0 + -4v = -17 + 29 -4v = -17 + 29 Combine like terms: -17 + 29 = 12 -4v = 12 Divide each side by '-4'. v = -3 Simplifying v = -3
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