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Simplifying -5(4t + -2) + 8t = 4t + -5 Reorder the terms: -5(-2 + 4t) + 8t = 4t + -5 (-2 * -5 + 4t * -5) + 8t = 4t + -5 (10 + -20t) + 8t = 4t + -5 Combine like terms: -20t + 8t = -12t 10 + -12t = 4t + -5 Reorder the terms: 10 + -12t = -5 + 4t Solving 10 + -12t = -5 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 10 + -12t + -4t = -5 + 4t + -4t Combine like terms: -12t + -4t = -16t 10 + -16t = -5 + 4t + -4t Combine like terms: 4t + -4t = 0 10 + -16t = -5 + 0 10 + -16t = -5 Add '-10' to each side of the equation. 10 + -10 + -16t = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -16t = -5 + -10 -16t = -5 + -10 Combine like terms: -5 + -10 = -15 -16t = -15 Divide each side by '-16'. t = 0.9375 Simplifying t = 0.9375
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