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Simplifying -4v + -17 = -3(v + 3) Reorder the terms: -17 + -4v = -3(v + 3) Reorder the terms: -17 + -4v = -3(3 + v) -17 + -4v = (3 * -3 + v * -3) -17 + -4v = (-9 + -3v) Solving -17 + -4v = -9 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -17 + -4v + 3v = -9 + -3v + 3v Combine like terms: -4v + 3v = -1v -17 + -1v = -9 + -3v + 3v Combine like terms: -3v + 3v = 0 -17 + -1v = -9 + 0 -17 + -1v = -9 Add '17' to each side of the equation. -17 + 17 + -1v = -9 + 17 Combine like terms: -17 + 17 = 0 0 + -1v = -9 + 17 -1v = -9 + 17 Combine like terms: -9 + 17 = 8 -1v = 8 Divide each side by '-1'. v = -8 Simplifying v = -8
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