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Simplifying 8(2t + 3) = 4(7t + 11) Reorder the terms: 8(3 + 2t) = 4(7t + 11) (3 * 8 + 2t * 8) = 4(7t + 11) (24 + 16t) = 4(7t + 11) Reorder the terms: 24 + 16t = 4(11 + 7t) 24 + 16t = (11 * 4 + 7t * 4) 24 + 16t = (44 + 28t) Solving 24 + 16t = 44 + 28t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-28t' to each side of the equation. 24 + 16t + -28t = 44 + 28t + -28t Combine like terms: 16t + -28t = -12t 24 + -12t = 44 + 28t + -28t Combine like terms: 28t + -28t = 0 24 + -12t = 44 + 0 24 + -12t = 44 Add '-24' to each side of the equation. 24 + -24 + -12t = 44 + -24 Combine like terms: 24 + -24 = 0 0 + -12t = 44 + -24 -12t = 44 + -24 Combine like terms: 44 + -24 = 20 -12t = 20 Divide each side by '-12'. t = -1.666666667 Simplifying t = -1.666666667
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