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Simplifying -3(5t + -2) + 8t = 2t + -8 Reorder the terms: -3(-2 + 5t) + 8t = 2t + -8 (-2 * -3 + 5t * -3) + 8t = 2t + -8 (6 + -15t) + 8t = 2t + -8 Combine like terms: -15t + 8t = -7t 6 + -7t = 2t + -8 Reorder the terms: 6 + -7t = -8 + 2t Solving 6 + -7t = -8 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 6 + -7t + -2t = -8 + 2t + -2t Combine like terms: -7t + -2t = -9t 6 + -9t = -8 + 2t + -2t Combine like terms: 2t + -2t = 0 6 + -9t = -8 + 0 6 + -9t = -8 Add '-6' to each side of the equation. 6 + -6 + -9t = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -9t = -8 + -6 -9t = -8 + -6 Combine like terms: -8 + -6 = -14 -9t = -14 Divide each side by '-9'. t = 1.555555556 Simplifying t = 1.555555556
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