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Simplifying 12t + 32 = -16t Reorder the terms: 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 = 28t 32 + 28t = -16t + 16t Combine like terms: -16t + 16t = 0 32 + 28t = 0 Add '-32' to each side of the equation. 32 + -32 + 28t = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 28t = 0 + -32 28t = 0 + -32 Combine like terms: 0 + -32 = -32 28t = -32 Divide each side by '28'. t = -1.142857143 Simplifying t = -1.142857143
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