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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 = -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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