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Simplifying 8t + 16 = 16t + -1(12t + -20) Reorder the terms: 16 + 8t = 16t + -1(12t + -20) Reorder the terms: 16 + 8t = 16t + -1(-20 + 12t) 16 + 8t = 16t + (-20 * -1 + 12t * -1) 16 + 8t = 16t + (20 + -12t) Reorder the terms: 16 + 8t = 20 + 16t + -12t Combine like terms: 16t + -12t = 4t 16 + 8t = 20 + 4t Solving 16 + 8t = 20 + 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. 16 + 8t + -4t = 20 + 4t + -4t Combine like terms: 8t + -4t = 4t 16 + 4t = 20 + 4t + -4t Combine like terms: 4t + -4t = 0 16 + 4t = 20 + 0 16 + 4t = 20 Add '-16' to each side of the equation. 16 + -16 + 4t = 20 + -16 Combine like terms: 16 + -16 = 0 0 + 4t = 20 + -16 4t = 20 + -16 Combine like terms: 20 + -16 = 4 4t = 4 Divide each side by '4'. t = 1 Simplifying t = 1
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