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Simplifying 27 + 8t = 9(t + -3) Reorder the terms: 27 + 8t = 9(-3 + t) 27 + 8t = (-3 * 9 + t * 9) 27 + 8t = (-27 + 9t) Solving 27 + 8t = -27 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 27 + 8t + -9t = -27 + 9t + -9t Combine like terms: 8t + -9t = -1t 27 + -1t = -27 + 9t + -9t Combine like terms: 9t + -9t = 0 27 + -1t = -27 + 0 27 + -1t = -27 Add '-27' to each side of the equation. 27 + -27 + -1t = -27 + -27 Combine like terms: 27 + -27 = 0 0 + -1t = -27 + -27 -1t = -27 + -27 Combine like terms: -27 + -27 = -54 -1t = -54 Divide each side by '-1'. t = 54 Simplifying t = 54
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