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Simplifying 4[9 + 3t] + -12 = -6 [9 * 4 + 3t * 4] + -12 = -6 [36 + 12t] + -12 = -6 Reorder the terms: 36 + -12 + 12t = -6 Combine like terms: 36 + -12 = 24 24 + 12t = -6 Solving 24 + 12t = -6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 12t = -6 + -24 Combine like terms: 24 + -24 = 0 0 + 12t = -6 + -24 12t = -6 + -24 Combine like terms: -6 + -24 = -30 12t = -30 Divide each side by '12'. t = -2.5 Simplifying t = -2.5
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