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Simplifying -3(t + -2) + 5t = 8t + -5 Reorder the terms: -3(-2 + t) + 5t = 8t + -5 (-2 * -3 + t * -3) + 5t = 8t + -5 (6 + -3t) + 5t = 8t + -5 Combine like terms: -3t + 5t = 2t 6 + 2t = 8t + -5 Reorder the terms: 6 + 2t = -5 + 8t Solving 6 + 2t = -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. 6 + 2t + -8t = -5 + 8t + -8t Combine like terms: 2t + -8t = -6t 6 + -6t = -5 + 8t + -8t Combine like terms: 8t + -8t = 0 6 + -6t = -5 + 0 6 + -6t = -5 Add '-6' to each side of the equation. 6 + -6 + -6t = -5 + -6 Combine like terms: 6 + -6 = 0 0 + -6t = -5 + -6 -6t = -5 + -6 Combine like terms: -5 + -6 = -11 -6t = -11 Divide each side by '-6'. t = 1.833333333 Simplifying t = 1.833333333
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