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Simplifying -5(4t + -4) + 4t = 8t + -5 Reorder the terms: -5(-4 + 4t) + 4t = 8t + -5 (-4 * -5 + 4t * -5) + 4t = 8t + -5 (20 + -20t) + 4t = 8t + -5 Combine like terms: -20t + 4t = -16t 20 + -16t = 8t + -5 Reorder the terms: 20 + -16t = -5 + 8t Solving 20 + -16t = -5 + 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. 20 + -16t + -8t = -5 + 8t + -8t Combine like terms: -16t + -8t = -24t 20 + -24t = -5 + 8t + -8t Combine like terms: 8t + -8t = 0 20 + -24t = -5 + 0 20 + -24t = -5 Add '-20' to each side of the equation. 20 + -20 + -24t = -5 + -20 Combine like terms: 20 + -20 = 0 0 + -24t = -5 + -20 -24t = -5 + -20 Combine like terms: -5 + -20 = -25 -24t = -25 Divide each side by '-24'. t = 1.041666667 Simplifying t = 1.041666667
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