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Simplifying -5(t + -5) + 8t = 9t + -9 Reorder the terms: -5(-5 + t) + 8t = 9t + -9 (-5 * -5 + t * -5) + 8t = 9t + -9 (25 + -5t) + 8t = 9t + -9 Combine like terms: -5t + 8t = 3t 25 + 3t = 9t + -9 Reorder the terms: 25 + 3t = -9 + 9t Solving 25 + 3t = -9 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 25 + 3t + -9t = -9 + 9t + -9t Combine like terms: 3t + -9t = -6t 25 + -6t = -9 + 9t + -9t Combine like terms: 9t + -9t = 0 25 + -6t = -9 + 0 25 + -6t = -9 Add '-25' to each side of the equation. 25 + -25 + -6t = -9 + -25 Combine like terms: 25 + -25 = 0 0 + -6t = -9 + -25 -6t = -9 + -25 Combine like terms: -9 + -25 = -34 -6t = -34 Divide each side by '-6'. t = 5.666666667 Simplifying t = 5.666666667
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