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Simplifying 3[6 + 9t] = 45t + -180 [6 * 3 + 9t * 3] = 45t + -180 [18 + 27t] = 45t + -180 Reorder the terms: 18 + 27t = -180 + 45t Solving 18 + 27t = -180 + 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 + 27t + -45t = -180 + 45t + -45t Combine like terms: 27t + -45t = -18t 18 + -18t = -180 + 45t + -45t Combine like terms: 45t + -45t = 0 18 + -18t = -180 + 0 18 + -18t = -180 Add '-18' to each side of the equation. 18 + -18 + -18t = -180 + -18 Combine like terms: 18 + -18 = 0 0 + -18t = -180 + -18 -18t = -180 + -18 Combine like terms: -180 + -18 = -198 -18t = -198 Divide each side by '-18'. t = 11 Simplifying t = 11
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