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Simplifying -4(5t + -5) + 2t = 8t + -3 Reorder the terms: -4(-5 + 5t) + 2t = 8t + -3 (-5 * -4 + 5t * -4) + 2t = 8t + -3 (20 + -20t) + 2t = 8t + -3 Combine like terms: -20t + 2t = -18t 20 + -18t = 8t + -3 Reorder the terms: 20 + -18t = -3 + 8t Solving 20 + -18t = -3 + 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 + -18t + -8t = -3 + 8t + -8t Combine like terms: -18t + -8t = -26t 20 + -26t = -3 + 8t + -8t Combine like terms: 8t + -8t = 0 20 + -26t = -3 + 0 20 + -26t = -3 Add '-20' to each side of the equation. 20 + -20 + -26t = -3 + -20 Combine like terms: 20 + -20 = 0 0 + -26t = -3 + -20 -26t = -3 + -20 Combine like terms: -3 + -20 = -23 -26t = -23 Divide each side by '-26'. t = 0.8846153846 Simplifying t = 0.8846153846
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