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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 = -19 -19 + 14t + 6t = 93 Combine like terms: 14t + 6t = 20t -19 + 20t = 93 Solving -19 + 20t = 93 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 20t = 93 + 19 Combine like terms: -19 + 19 = 0 0 + 20t = 93 + 19 20t = 93 + 19 Combine like terms: 93 + 19 = 112 20t = 112 Divide each side by '20'. t = 5.6 Simplifying t = 5.6
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