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Simplifying -3(5t + -3) + 9t = 8t + -2 Reorder the terms: -3(-3 + 5t) + 9t = 8t + -2 (-3 * -3 + 5t * -3) + 9t = 8t + -2 (9 + -15t) + 9t = 8t + -2 Combine like terms: -15t + 9t = -6t 9 + -6t = 8t + -2 Reorder the terms: 9 + -6t = -2 + 8t Solving 9 + -6t = -2 + 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. 9 + -6t + -8t = -2 + 8t + -8t Combine like terms: -6t + -8t = -14t 9 + -14t = -2 + 8t + -8t Combine like terms: 8t + -8t = 0 9 + -14t = -2 + 0 9 + -14t = -2 Add '-9' to each side of the equation. 9 + -9 + -14t = -2 + -9 Combine like terms: 9 + -9 = 0 0 + -14t = -2 + -9 -14t = -2 + -9 Combine like terms: -2 + -9 = -11 -14t = -11 Divide each side by '-14'. t = 0.7857142857 Simplifying t = 0.7857142857
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