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Simplifying -12t + 2 + 5(3t + 1) = 0 Reorder the terms: -12t + 2 + 5(1 + 3t) = 0 -12t + 2 + (1 * 5 + 3t * 5) = 0 -12t + 2 + (5 + 15t) = 0 Reorder the terms: 2 + 5 + -12t + 15t = 0 Combine like terms: 2 + 5 = 7 7 + -12t + 15t = 0 Combine like terms: -12t + 15t = 3t 7 + 3t = 0 Solving 7 + 3t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3t = 0 + -7 3t = 0 + -7 Combine like terms: 0 + -7 = -7 3t = -7 Divide each side by '3'. t = -2.333333333 Simplifying t = -2.333333333
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