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Simplifying -5(4t + -3) + 4t = 8t + -4 Reorder the terms: -5(-3 + 4t) + 4t = 8t + -4 (-3 * -5 + 4t * -5) + 4t = 8t + -4 (15 + -20t) + 4t = 8t + -4 Combine like terms: -20t + 4t = -16t 15 + -16t = 8t + -4 Reorder the terms: 15 + -16t = -4 + 8t Solving 15 + -16t = -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. 15 + -16t + -8t = -4 + 8t + -8t Combine like terms: -16t + -8t = -24t 15 + -24t = -4 + 8t + -8t Combine like terms: 8t + -8t = 0 15 + -24t = -4 + 0 15 + -24t = -4 Add '-15' to each side of the equation. 15 + -15 + -24t = -4 + -15 Combine like terms: 15 + -15 = 0 0 + -24t = -4 + -15 -24t = -4 + -15 Combine like terms: -4 + -15 = -19 -24t = -19 Divide each side by '-24'. t = 0.7916666667 Simplifying t = 0.7916666667
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