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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 = 48 48 + 12t = -6 Solving 48 + 12t = -6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 12t = -6 + -48 Combine like terms: 48 + -48 = 0 0 + 12t = -6 + -48 12t = -6 + -48 Combine like terms: -6 + -48 = -54 12t = -54 Divide each side by '12'. t = -4.5 Simplifying t = -4.5
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