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Simplifying -4v + -17 = 9(v + 1) Reorder the terms: -17 + -4v = 9(v + 1) Reorder the terms: -17 + -4v = 9(1 + v) -17 + -4v = (1 * 9 + v * 9) -17 + -4v = (9 + 9v) Solving -17 + -4v = 9 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. -17 + -4v + -9v = 9 + 9v + -9v Combine like terms: -4v + -9v = -13v -17 + -13v = 9 + 9v + -9v Combine like terms: 9v + -9v = 0 -17 + -13v = 9 + 0 -17 + -13v = 9 Add '17' to each side of the equation. -17 + 17 + -13v = 9 + 17 Combine like terms: -17 + 17 = 0 0 + -13v = 9 + 17 -13v = 9 + 17 Combine like terms: 9 + 17 = 26 -13v = 26 Divide each side by '-13'. v = -2 Simplifying v = -2
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