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Simplifying 8t + 4q + -12 = x Reorder the terms: -12 + 4q + 8t = x Solving -12 + 4q + 8t = x 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 + 4q + 12 + 8t = 12 + x Reorder the terms: -12 + 12 + 4q + 8t = 12 + x Combine like terms: -12 + 12 = 0 0 + 4q + 8t = 12 + x 4q + 8t = 12 + x Add '-8t' to each side of the equation. 4q + 8t + -8t = 12 + -8t + x Combine like terms: 8t + -8t = 0 4q + 0 = 12 + -8t + x 4q = 12 + -8t + x Divide each side by '4'. q = 3 + -2t + 0.25x Simplifying q = 3 + -2t + 0.25x
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