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Simplifying -1(-5t + 1) + 9 = -5 + -2t Reorder the terms: -1(1 + -5t) + 9 = -5 + -2t (1 * -1 + -5t * -1) + 9 = -5 + -2t (-1 + 5t) + 9 = -5 + -2t Reorder the terms: -1 + 9 + 5t = -5 + -2t Combine like terms: -1 + 9 = 8 8 + 5t = -5 + -2t Solving 8 + 5t = -5 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. 8 + 5t + 2t = -5 + -2t + 2t Combine like terms: 5t + 2t = 7t 8 + 7t = -5 + -2t + 2t Combine like terms: -2t + 2t = 0 8 + 7t = -5 + 0 8 + 7t = -5 Add '-8' to each side of the equation. 8 + -8 + 7t = -5 + -8 Combine like terms: 8 + -8 = 0 0 + 7t = -5 + -8 7t = -5 + -8 Combine like terms: -5 + -8 = -13 7t = -13 Divide each side by '7'. t = -1.857142857 Simplifying t = -1.857142857
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