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Simplifying -4(3t + -5) + 2t = 8t + -5 Reorder the terms: -4(-5 + 3t) + 2t = 8t + -5 (-5 * -4 + 3t * -4) + 2t = 8t + -5 (20 + -12t) + 2t = 8t + -5 Combine like terms: -12t + 2t = -10t 20 + -10t = 8t + -5 Reorder the terms: 20 + -10t = -5 + 8t Solving 20 + -10t = -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. 20 + -10t + -8t = -5 + 8t + -8t Combine like terms: -10t + -8t = -18t 20 + -18t = -5 + 8t + -8t Combine like terms: 8t + -8t = 0 20 + -18t = -5 + 0 20 + -18t = -5 Add '-20' to each side of the equation. 20 + -20 + -18t = -5 + -20 Combine like terms: 20 + -20 = 0 0 + -18t = -5 + -20 -18t = -5 + -20 Combine like terms: -5 + -20 = -25 -18t = -25 Divide each side by '-18'. t = 1.388888889 Simplifying t = 1.388888889
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