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Simplifying 10(3t + 6) + 2t = 0 Reorder the terms: 10(6 + 3t) + 2t = 0 (6 * 10 + 3t * 10) + 2t = 0 (60 + 30t) + 2t = 0 Combine like terms: 30t + 2t = 32t 60 + 32t = 0 Solving 60 + 32t = 0 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 + 32t = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 32t = 0 + -60 32t = 0 + -60 Combine like terms: 0 + -60 = -60 32t = -60 Divide each side by '32'. t = -1.875 Simplifying t = -1.875
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