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Simplifying -5(4t + -5) + 8t = 5t + -2 Reorder the terms: -5(-5 + 4t) + 8t = 5t + -2 (-5 * -5 + 4t * -5) + 8t = 5t + -2 (25 + -20t) + 8t = 5t + -2 Combine like terms: -20t + 8t = -12t 25 + -12t = 5t + -2 Reorder the terms: 25 + -12t = -2 + 5t Solving 25 + -12t = -2 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 25 + -12t + -5t = -2 + 5t + -5t Combine like terms: -12t + -5t = -17t 25 + -17t = -2 + 5t + -5t Combine like terms: 5t + -5t = 0 25 + -17t = -2 + 0 25 + -17t = -2 Add '-25' to each side of the equation. 25 + -25 + -17t = -2 + -25 Combine like terms: 25 + -25 = 0 0 + -17t = -2 + -25 -17t = -2 + -25 Combine like terms: -2 + -25 = -27 -17t = -27 Divide each side by '-17'. t = 1.588235294 Simplifying t = 1.588235294
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