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Simplifying -5(3t + -5) + 9t = 8t + -6 Reorder the terms: -5(-5 + 3t) + 9t = 8t + -6 (-5 * -5 + 3t * -5) + 9t = 8t + -6 (25 + -15t) + 9t = 8t + -6 Combine like terms: -15t + 9t = -6t 25 + -6t = 8t + -6 Reorder the terms: 25 + -6t = -6 + 8t Solving 25 + -6t = -6 + 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. 25 + -6t + -8t = -6 + 8t + -8t Combine like terms: -6t + -8t = -14t 25 + -14t = -6 + 8t + -8t Combine like terms: 8t + -8t = 0 25 + -14t = -6 + 0 25 + -14t = -6 Add '-25' to each side of the equation. 25 + -25 + -14t = -6 + -25 Combine like terms: 25 + -25 = 0 0 + -14t = -6 + -25 -14t = -6 + -25 Combine like terms: -6 + -25 = -31 -14t = -31 Divide each side by '-14'. t = 2.214285714 Simplifying t = 2.214285714
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