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Simplifying -5(4t + -3) + 6t = 8t + -8 Reorder the terms: -5(-3 + 4t) + 6t = 8t + -8 (-3 * -5 + 4t * -5) + 6t = 8t + -8 (15 + -20t) + 6t = 8t + -8 Combine like terms: -20t + 6t = -14t 15 + -14t = 8t + -8 Reorder the terms: 15 + -14t = -8 + 8t Solving 15 + -14t = -8 + 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 + -14t + -8t = -8 + 8t + -8t Combine like terms: -14t + -8t = -22t 15 + -22t = -8 + 8t + -8t Combine like terms: 8t + -8t = 0 15 + -22t = -8 + 0 15 + -22t = -8 Add '-15' to each side of the equation. 15 + -15 + -22t = -8 + -15 Combine like terms: 15 + -15 = 0 0 + -22t = -8 + -15 -22t = -8 + -15 Combine like terms: -8 + -15 = -23 -22t = -23 Divide each side by '-22'. t = 1.045454545 Simplifying t = 1.045454545
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