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Simplifying 15(t + 2) * 2 + 9t = -90 Reorder the terms: 15(2 + t) * 2 + 9t = -90 Reorder the terms for easier multiplication: 15 * 2(2 + t) + 9t = -90 Multiply 15 * 2 30(2 + t) + 9t = -90 (2 * 30 + t * 30) + 9t = -90 (60 + 30t) + 9t = -90 Combine like terms: 30t + 9t = 39t 60 + 39t = -90 Solving 60 + 39t = -90 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 39t = -90 + -60 Combine like terms: 60 + -60 = 0 0 + 39t = -90 + -60 39t = -90 + -60 Combine like terms: -90 + -60 = -150 39t = -150 Divide each side by '39'. t = -3.846153846 Simplifying t = -3.846153846
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