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Simplifying 3(3t + 5) + -4(2t + -1) = 6 Reorder the terms: 3(5 + 3t) + -4(2t + -1) = 6 (5 * 3 + 3t * 3) + -4(2t + -1) = 6 (15 + 9t) + -4(2t + -1) = 6 Reorder the terms: 15 + 9t + -4(-1 + 2t) = 6 15 + 9t + (-1 * -4 + 2t * -4) = 6 15 + 9t + (4 + -8t) = 6 Reorder the terms: 15 + 4 + 9t + -8t = 6 Combine like terms: 15 + 4 = 19 19 + 9t + -8t = 6 Combine like terms: 9t + -8t = 1t 19 + 1t = 6 Solving 19 + 1t = 6 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 + 1t = 6 + -19 Combine like terms: 19 + -19 = 0 0 + 1t = 6 + -19 1t = 6 + -19 Combine like terms: 6 + -19 = -13 1t = -13 Divide each side by '1'. t = -13 Simplifying t = -13
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