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Simplifying -5(t + -3) + 8t = 9t + -8 Reorder the terms: -5(-3 + t) + 8t = 9t + -8 (-3 * -5 + t * -5) + 8t = 9t + -8 (15 + -5t) + 8t = 9t + -8 Combine like terms: -5t + 8t = 3t 15 + 3t = 9t + -8 Reorder the terms: 15 + 3t = -8 + 9t Solving 15 + 3t = -8 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 15 + 3t + -9t = -8 + 9t + -9t Combine like terms: 3t + -9t = -6t 15 + -6t = -8 + 9t + -9t Combine like terms: 9t + -9t = 0 15 + -6t = -8 + 0 15 + -6t = -8 Add '-15' to each side of the equation. 15 + -15 + -6t = -8 + -15 Combine like terms: 15 + -15 = 0 0 + -6t = -8 + -15 -6t = -8 + -15 Combine like terms: -8 + -15 = -23 -6t = -23 Divide each side by '-6'. t = 3.833333333 Simplifying t = 3.833333333
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