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Simplifying 8t + -1(-2t) + -14 + -1(-5t) + 53 + -9t = 0 Remove parenthesis around (-2t) 8t + -1 * -2t + -14 + -1(-5t) + 53 + -9t = 0 Multiply -1 * -2 8t + 2t + -14 + -1(-5t) + 53 + -9t = 0 Remove parenthesis around (-5t) 8t + 2t + -14 + -1 * -5t + 53 + -9t = 0 Multiply -1 * -5 8t + 2t + -14 + 5t + 53 + -9t = 0 Reorder the terms: -14 + 53 + 8t + 2t + 5t + -9t = 0 Combine like terms: -14 + 53 = 39 39 + 8t + 2t + 5t + -9t = 0 Combine like terms: 8t + 2t = 10t 39 + 10t + 5t + -9t = 0 Combine like terms: 10t + 5t = 15t 39 + 15t + -9t = 0 Combine like terms: 15t + -9t = 6t 39 + 6t = 0 Solving 39 + 6t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 6t = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 6t = 0 + -39 6t = 0 + -39 Combine like terms: 0 + -39 = -39 6t = -39 Divide each side by '6'. t = -6.5 Simplifying t = -6.5
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