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Simplifying 12(7 + -2v) + 5v = -68 (7 * 12 + -2v * 12) + 5v = -68 (84 + -24v) + 5v = -68 Combine like terms: -24v + 5v = -19v 84 + -19v = -68 Solving 84 + -19v = -68 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + -19v = -68 + -84 Combine like terms: 84 + -84 = 0 0 + -19v = -68 + -84 -19v = -68 + -84 Combine like terms: -68 + -84 = -152 -19v = -152 Divide each side by '-19'. v = 8 Simplifying v = 8
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