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Simplifying -4(t + -4) + 9 = 8t + -1 Reorder the terms: -4(-4 + t) + 9 = 8t + -1 (-4 * -4 + t * -4) + 9 = 8t + -1 (16 + -4t) + 9 = 8t + -1 Reorder the terms: 16 + 9 + -4t = 8t + -1 Combine like terms: 16 + 9 = 25 25 + -4t = 8t + -1 Reorder the terms: 25 + -4t = -1 + 8t Solving 25 + -4t = -1 + 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 + -4t + -8t = -1 + 8t + -8t Combine like terms: -4t + -8t = -12t 25 + -12t = -1 + 8t + -8t Combine like terms: 8t + -8t = 0 25 + -12t = -1 + 0 25 + -12t = -1 Add '-25' to each side of the equation. 25 + -25 + -12t = -1 + -25 Combine like terms: 25 + -25 = 0 0 + -12t = -1 + -25 -12t = -1 + -25 Combine like terms: -1 + -25 = -26 -12t = -26 Divide each side by '-12'. t = 2.166666667 Simplifying t = 2.166666667
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