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Simplifying 3(2t + 9) = -45 Reorder the terms: 3(9 + 2t) = -45 (9 * 3 + 2t * 3) = -45 (27 + 6t) = -45 Solving 27 + 6t = -45 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 6t = -45 + -27 Combine like terms: 27 + -27 = 0 0 + 6t = -45 + -27 6t = -45 + -27 Combine like terms: -45 + -27 = -72 6t = -72 Divide each side by '6'. t = -12 Simplifying t = -12
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