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Simplifying 4[3t + 8] = 16t Reorder the terms: 4[8 + 3t] = 16t [8 * 4 + 3t * 4] = 16t [32 + 12t] = 16t Solving 32 + 12t = 16t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16t' to each side of the equation. 32 + 12t + -16t = 16t + -16t Combine like terms: 12t + -16t = -4t 32 + -4t = 16t + -16t Combine like terms: 16t + -16t = 0 32 + -4t = 0 Add '-32' to each side of the equation. 32 + -32 + -4t = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -4t = 0 + -32 -4t = 0 + -32 Combine like terms: 0 + -32 = -32 -4t = -32 Divide each side by '-4'. t = 8 Simplifying t = 8
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