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Simplifying 5(t + 2) + 9t = 6 Reorder the terms: 5(2 + t) + 9t = 6 (2 * 5 + t * 5) + 9t = 6 (10 + 5t) + 9t = 6 Combine like terms: 5t + 9t = 14t 10 + 14t = 6 Solving 10 + 14t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 14t = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 14t = 6 + -10 14t = 6 + -10 Combine like terms: 6 + -10 = -4 14t = -4 Divide each side by '14'. t = -0.2857142857 Simplifying t = -0.2857142857
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