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Simplifying 6(6t + 7t) + 2(5t + 16) + 8t = 0 Combine like terms: 6t + 7t = 13t 6(13t) + 2(5t + 16) + 8t = 0 Remove parenthesis around (13t) 6 * 13t + 2(5t + 16) + 8t = 0 Multiply 6 * 13 78t + 2(5t + 16) + 8t = 0 Reorder the terms: 78t + 2(16 + 5t) + 8t = 0 78t + (16 * 2 + 5t * 2) + 8t = 0 78t + (32 + 10t) + 8t = 0 Reorder the terms: 32 + 78t + 10t + 8t = 0 Combine like terms: 78t + 10t = 88t 32 + 88t + 8t = 0 Combine like terms: 88t + 8t = 96t 32 + 96t = 0 Solving 32 + 96t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 96t = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 96t = 0 + -32 96t = 0 + -32 Combine like terms: 0 + -32 = -32 96t = -32 Divide each side by '96'. t = -0.3333333333 Simplifying t = -0.3333333333
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