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Simplifying 8 + 5(3q + -4) = 12d + -8 Reorder the terms: 8 + 5(-4 + 3q) = 12d + -8 8 + (-4 * 5 + 3q * 5) = 12d + -8 8 + (-20 + 15q) = 12d + -8 Combine like terms: 8 + -20 = -12 -12 + 15q = 12d + -8 Reorder the terms: -12 + 15q = -8 + 12d Solving -12 + 15q = -8 + 12d 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 + 15q = -8 + 12 + 12d Combine like terms: -12 + 12 = 0 0 + 15q = -8 + 12 + 12d 15q = -8 + 12 + 12d Combine like terms: -8 + 12 = 4 15q = 4 + 12d Divide each side by '15'. q = 0.2666666667 + 0.8d Simplifying q = 0.2666666667 + 0.8d
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