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Simplifying -4(3t + -5) + 8t = 5t + -2 Reorder the terms: -4(-5 + 3t) + 8t = 5t + -2 (-5 * -4 + 3t * -4) + 8t = 5t + -2 (20 + -12t) + 8t = 5t + -2 Combine like terms: -12t + 8t = -4t 20 + -4t = 5t + -2 Reorder the terms: 20 + -4t = -2 + 5t Solving 20 + -4t = -2 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 20 + -4t + -5t = -2 + 5t + -5t Combine like terms: -4t + -5t = -9t 20 + -9t = -2 + 5t + -5t Combine like terms: 5t + -5t = 0 20 + -9t = -2 + 0 20 + -9t = -2 Add '-20' to each side of the equation. 20 + -20 + -9t = -2 + -20 Combine like terms: 20 + -20 = 0 0 + -9t = -2 + -20 -9t = -2 + -20 Combine like terms: -2 + -20 = -22 -9t = -22 Divide each side by '-9'. t = 2.444444444 Simplifying t = 2.444444444
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