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Simplifying 8(2t + 1) = 4(7t + 1) Reorder the terms: 8(1 + 2t) = 4(7t + 1) (1 * 8 + 2t * 8) = 4(7t + 1) (8 + 16t) = 4(7t + 1) Reorder the terms: 8 + 16t = 4(1 + 7t) 8 + 16t = (1 * 4 + 7t * 4) 8 + 16t = (4 + 28t) Solving 8 + 16t = 4 + 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. 8 + 16t + -28t = 4 + 28t + -28t Combine like terms: 16t + -28t = -12t 8 + -12t = 4 + 28t + -28t Combine like terms: 28t + -28t = 0 8 + -12t = 4 + 0 8 + -12t = 4 Add '-8' to each side of the equation. 8 + -8 + -12t = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -12t = 4 + -8 -12t = 4 + -8 Combine like terms: 4 + -8 = -4 -12t = -4 Divide each side by '-12'. t = 0.3333333333 Simplifying t = 0.3333333333
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