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Simplifying 2(7t + 8) + 3(2t + -1) = 93 Reorder the terms: 2(8 + 7t) + 3(2t + -1) = 93 (8 * 2 + 7t * 2) + 3(2t + -1) = 93 (16 + 14t) + 3(2t + -1) = 93 Reorder the terms: 16 + 14t + 3(-1 + 2t) = 93 16 + 14t + (-1 * 3 + 2t * 3) = 93 16 + 14t + (-3 + 6t) = 93 Reorder the terms: 16 + -3 + 14t + 6t = 93 Combine like terms: 16 + -3 = 13 13 + 14t + 6t = 93 Combine like terms: 14t + 6t = 20t 13 + 20t = 93 Solving 13 + 20t = 93 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 20t = 93 + -13 Combine like terms: 13 + -13 = 0 0 + 20t = 93 + -13 20t = 93 + -13 Combine like terms: 93 + -13 = 80 20t = 80 Divide each side by '20'. t = 4 Simplifying t = 4
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