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Simplifying 14(t + -1) = 8(t + 2) + -1t Reorder the terms: 14(-1 + t) = 8(t + 2) + -1t (-1 * 14 + t * 14) = 8(t + 2) + -1t (-14 + 14t) = 8(t + 2) + -1t Reorder the terms: -14 + 14t = 8(2 + t) + -1t -14 + 14t = (2 * 8 + t * 8) + -1t -14 + 14t = (16 + 8t) + -1t Combine like terms: 8t + -1t = 7t -14 + 14t = 16 + 7t Solving -14 + 14t = 16 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. -14 + 14t + -7t = 16 + 7t + -7t Combine like terms: 14t + -7t = 7t -14 + 7t = 16 + 7t + -7t Combine like terms: 7t + -7t = 0 -14 + 7t = 16 + 0 -14 + 7t = 16 Add '14' to each side of the equation. -14 + 14 + 7t = 16 + 14 Combine like terms: -14 + 14 = 0 0 + 7t = 16 + 14 7t = 16 + 14 Combine like terms: 16 + 14 = 30 7t = 30 Divide each side by '7'. t = 4.285714286 Simplifying t = 4.285714286
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