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Simplifying -12t + 36 = -54 + 8t Reorder the terms: 36 + -12t = -54 + 8t Solving 36 + -12t = -54 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 36 + -12t + -8t = -54 + 8t + -8t Combine like terms: -12t + -8t = -20t 36 + -20t = -54 + 8t + -8t Combine like terms: 8t + -8t = 0 36 + -20t = -54 + 0 36 + -20t = -54 Add '-36' to each side of the equation. 36 + -36 + -20t = -54 + -36 Combine like terms: 36 + -36 = 0 0 + -20t = -54 + -36 -20t = -54 + -36 Combine like terms: -54 + -36 = -90 -20t = -90 Divide each side by '-20'. t = 4.5 Simplifying t = 4.5
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