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Simplifying 9t + 27 + -16t + -8 = 8t + -40 + 9 Reorder the terms: 27 + -8 + 9t + -16t = 8t + -40 + 9 Combine like terms: 27 + -8 = 19 19 + 9t + -16t = 8t + -40 + 9 Combine like terms: 9t + -16t = -7t 19 + -7t = 8t + -40 + 9 Reorder the terms: 19 + -7t = -40 + 9 + 8t Combine like terms: -40 + 9 = -31 19 + -7t = -31 + 8t Solving 19 + -7t = -31 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 19 + -7t + -8t = -31 + 8t + -8t Combine like terms: -7t + -8t = -15t 19 + -15t = -31 + 8t + -8t Combine like terms: 8t + -8t = 0 19 + -15t = -31 + 0 19 + -15t = -31 Add '-19' to each side of the equation. 19 + -19 + -15t = -31 + -19 Combine like terms: 19 + -19 = 0 0 + -15t = -31 + -19 -15t = -31 + -19 Combine like terms: -31 + -19 = -50 -15t = -50 Divide each side by '-15'. t = 3.333333333 Simplifying t = 3.333333333
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