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Simplifying 3(7t + 4) + -8(t + -2) = 9 Reorder the terms: 3(4 + 7t) + -8(t + -2) = 9 (4 * 3 + 7t * 3) + -8(t + -2) = 9 (12 + 21t) + -8(t + -2) = 9 Reorder the terms: 12 + 21t + -8(-2 + t) = 9 12 + 21t + (-2 * -8 + t * -8) = 9 12 + 21t + (16 + -8t) = 9 Reorder the terms: 12 + 16 + 21t + -8t = 9 Combine like terms: 12 + 16 = 28 28 + 21t + -8t = 9 Combine like terms: 21t + -8t = 13t 28 + 13t = 9 Solving 28 + 13t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 13t = 9 + -28 Combine like terms: 28 + -28 = 0 0 + 13t = 9 + -28 13t = 9 + -28 Combine like terms: 9 + -28 = -19 13t = -19 Divide each side by '13'. t = -1.461538462 Simplifying t = -1.461538462
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