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Simplifying 8(2t + 1) = 4(7 + 7) Reorder the terms: 8(1 + 2t) = 4(7 + 7) (1 * 8 + 2t * 8) = 4(7 + 7) (8 + 16t) = 4(7 + 7) Combine like terms: 7 + 7 = 14 8 + 16t = 4(14) Multiply 4 * 14 8 + 16t = 56 Solving 8 + 16t = 56 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 16t = 56 + -8 Combine like terms: 8 + -8 = 0 0 + 16t = 56 + -8 16t = 56 + -8 Combine like terms: 56 + -8 = 48 16t = 48 Divide each side by '16'. t = 3 Simplifying t = 3
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