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Simplifying -9v + -19 = 8(v + 4) Reorder the terms: -19 + -9v = 8(v + 4) Reorder the terms: -19 + -9v = 8(4 + v) -19 + -9v = (4 * 8 + v * 8) -19 + -9v = (32 + 8v) Solving -19 + -9v = 32 + 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. -19 + -9v + -8v = 32 + 8v + -8v Combine like terms: -9v + -8v = -17v -19 + -17v = 32 + 8v + -8v Combine like terms: 8v + -8v = 0 -19 + -17v = 32 + 0 -19 + -17v = 32 Add '19' to each side of the equation. -19 + 19 + -17v = 32 + 19 Combine like terms: -19 + 19 = 0 0 + -17v = 32 + 19 -17v = 32 + 19 Combine like terms: 32 + 19 = 51 -17v = 51 Divide each side by '-17'. v = -3 Simplifying v = -3
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