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Simplifying 8q + 12 = 5(-2v + -2) Reorder the terms: 12 + 8q = 5(-2v + -2) Reorder the terms: 12 + 8q = 5(-2 + -2v) 12 + 8q = (-2 * 5 + -2v * 5) 12 + 8q = (-10 + -10v) Solving 12 + 8q = -10 + -10v Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 8q = -10 + -12 + -10v Combine like terms: 12 + -12 = 0 0 + 8q = -10 + -12 + -10v 8q = -10 + -12 + -10v Combine like terms: -10 + -12 = -22 8q = -22 + -10v Divide each side by '8'. q = -2.75 + -1.25v Simplifying q = -2.75 + -1.25v
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