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Simplifying -5(4t + -5) + 6t = 8t + -4 Reorder the terms: -5(-5 + 4t) + 6t = 8t + -4 (-5 * -5 + 4t * -5) + 6t = 8t + -4 (25 + -20t) + 6t = 8t + -4 Combine like terms: -20t + 6t = -14t 25 + -14t = 8t + -4 Reorder the terms: 25 + -14t = -4 + 8t Solving 25 + -14t = -4 + 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 + -14t + -8t = -4 + 8t + -8t Combine like terms: -14t + -8t = -22t 25 + -22t = -4 + 8t + -8t Combine like terms: 8t + -8t = 0 25 + -22t = -4 + 0 25 + -22t = -4 Add '-25' to each side of the equation. 25 + -25 + -22t = -4 + -25 Combine like terms: 25 + -25 = 0 0 + -22t = -4 + -25 -22t = -4 + -25 Combine like terms: -4 + -25 = -29 -22t = -29 Divide each side by '-22'. t = 1.318181818 Simplifying t = 1.318181818
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