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Simplifying 6(9 + t) = -12t (9 * 6 + t * 6) = -12t (54 + 6t) = -12t Solving 54 + 6t = -12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12t' to each side of the equation. 54 + 6t + 12t = -12t + 12t Combine like terms: 6t + 12t = 18t 54 + 18t = -12t + 12t Combine like terms: -12t + 12t = 0 54 + 18t = 0 Add '-54' to each side of the equation. 54 + -54 + 18t = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 18t = 0 + -54 18t = 0 + -54 Combine like terms: 0 + -54 = -54 18t = -54 Divide each side by '18'. t = -3 Simplifying t = -3
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