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Simplifying -3(t + -3) + 5t = 8t + -6 Reorder the terms: -3(-3 + t) + 5t = 8t + -6 (-3 * -3 + t * -3) + 5t = 8t + -6 (9 + -3t) + 5t = 8t + -6 Combine like terms: -3t + 5t = 2t 9 + 2t = 8t + -6 Reorder the terms: 9 + 2t = -6 + 8t Solving 9 + 2t = -6 + 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. 9 + 2t + -8t = -6 + 8t + -8t Combine like terms: 2t + -8t = -6t 9 + -6t = -6 + 8t + -8t Combine like terms: 8t + -8t = 0 9 + -6t = -6 + 0 9 + -6t = -6 Add '-9' to each side of the equation. 9 + -9 + -6t = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -6t = -6 + -9 -6t = -6 + -9 Combine like terms: -6 + -9 = -15 -6t = -15 Divide each side by '-6'. t = 2.5 Simplifying t = 2.5
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