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Simplifying 3(2q + -4 + 3t + 7) = 0 Reorder the terms: 3(-4 + 7 + 2q + 3t) = 0 Combine like terms: -4 + 7 = 3 3(3 + 2q + 3t) = 0 (3 * 3 + 2q * 3 + 3t * 3) = 0 (9 + 6q + 9t) = 0 Solving 9 + 6q + 9t = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 6q + -9 + 9t = 0 + -9 Reorder the terms: 9 + -9 + 6q + 9t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 6q + 9t = 0 + -9 6q + 9t = 0 + -9 Combine like terms: 0 + -9 = -9 6q + 9t = -9 Add '-9t' to each side of the equation. 6q + 9t + -9t = -9 + -9t Combine like terms: 9t + -9t = 0 6q + 0 = -9 + -9t 6q = -9 + -9t Divide each side by '6'. q = -1.5 + -1.5t Simplifying q = -1.5 + -1.5t
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