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