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Simplifying 14 + -1(9t + -2) = -1t + 39 Reorder the terms: 14 + -1(-2 + 9t) = -1t + 39 14 + (-2 * -1 + 9t * -1) = -1t + 39 14 + (2 + -9t) = -1t + 39 Combine like terms: 14 + 2 = 16 16 + -9t = -1t + 39 Reorder the terms: 16 + -9t = 39 + -1t Solving 16 + -9t = 39 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 16 + -9t + t = 39 + -1t + t Combine like terms: -9t + t = -8t 16 + -8t = 39 + -1t + t Combine like terms: -1t + t = 0 16 + -8t = 39 + 0 16 + -8t = 39 Add '-16' to each side of the equation. 16 + -16 + -8t = 39 + -16 Combine like terms: 16 + -16 = 0 0 + -8t = 39 + -16 -8t = 39 + -16 Combine like terms: 39 + -16 = 23 -8t = 23 Divide each side by '-8'. t = -2.875 Simplifying t = -2.875
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