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Simplifying 3(27t + 6) = 9(5t + -2) Reorder the terms: 3(6 + 27t) = 9(5t + -2) (6 * 3 + 27t * 3) = 9(5t + -2) (18 + 81t) = 9(5t + -2) Reorder the terms: 18 + 81t = 9(-2 + 5t) 18 + 81t = (-2 * 9 + 5t * 9) 18 + 81t = (-18 + 45t) Solving 18 + 81t = -18 + 45t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-45t' to each side of the equation. 18 + 81t + -45t = -18 + 45t + -45t Combine like terms: 81t + -45t = 36t 18 + 36t = -18 + 45t + -45t Combine like terms: 45t + -45t = 0 18 + 36t = -18 + 0 18 + 36t = -18 Add '-18' to each side of the equation. 18 + -18 + 36t = -18 + -18 Combine like terms: 18 + -18 = 0 0 + 36t = -18 + -18 36t = -18 + -18 Combine like terms: -18 + -18 = -36 36t = -36 Divide each side by '36'. t = -1 Simplifying t = -1
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