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Simplifying 9(t + 40) + 4 = 49 Reorder the terms: 9(40 + t) + 4 = 49 (40 * 9 + t * 9) + 4 = 49 (360 + 9t) + 4 = 49 Reorder the terms: 360 + 4 + 9t = 49 Combine like terms: 360 + 4 = 364 364 + 9t = 49 Solving 364 + 9t = 49 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-364' to each side of the equation. 364 + -364 + 9t = 49 + -364 Combine like terms: 364 + -364 = 0 0 + 9t = 49 + -364 9t = 49 + -364 Combine like terms: 49 + -364 = -315 9t = -315 Divide each side by '9'. t = -35 Simplifying t = -35
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