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Simplifying 9t + 3q + -12 = 3(3t + 8 + -4) Reorder the terms: -12 + 3q + 9t = 3(3t + 8 + -4) Reorder the terms: -12 + 3q + 9t = 3(8 + -4 + 3t) Combine like terms: 8 + -4 = 4 -12 + 3q + 9t = 3(4 + 3t) -12 + 3q + 9t = (4 * 3 + 3t * 3) -12 + 3q + 9t = (12 + 9t) Add '-9t' to each side of the equation. -12 + 3q + 9t + -9t = 12 + 9t + -9t Combine like terms: 9t + -9t = 0 -12 + 3q + 0 = 12 + 9t + -9t -12 + 3q = 12 + 9t + -9t Combine like terms: 9t + -9t = 0 -12 + 3q = 12 + 0 -12 + 3q = 12 Solving -12 + 3q = 12 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 + 3q = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 3q = 12 + 12 3q = 12 + 12 Combine like terms: 12 + 12 = 24 3q = 24 Divide each side by '3'. q = 8 Simplifying q = 8
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