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Simplifying -4 + -3(v + 7) = -17 + v Reorder the terms: -4 + -3(7 + v) = -17 + v -4 + (7 * -3 + v * -3) = -17 + v -4 + (-21 + -3v) = -17 + v Combine like terms: -4 + -21 = -25 -25 + -3v = -17 + v Solving -25 + -3v = -17 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -25 + -3v + -1v = -17 + v + -1v Combine like terms: -3v + -1v = -4v -25 + -4v = -17 + v + -1v Combine like terms: v + -1v = 0 -25 + -4v = -17 + 0 -25 + -4v = -17 Add '25' to each side of the equation. -25 + 25 + -4v = -17 + 25 Combine like terms: -25 + 25 = 0 0 + -4v = -17 + 25 -4v = -17 + 25 Combine like terms: -17 + 25 = 8 -4v = 8 Divide each side by '-4'. v = -2 Simplifying v = -2
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