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Simplifying 9t + 5(t + 3) = -1(t + 3) + t Reorder the terms: 9t + 5(3 + t) = -1(t + 3) + t 9t + (3 * 5 + t * 5) = -1(t + 3) + t 9t + (15 + 5t) = -1(t + 3) + t Reorder the terms: 15 + 9t + 5t = -1(t + 3) + t Combine like terms: 9t + 5t = 14t 15 + 14t = -1(t + 3) + t Reorder the terms: 15 + 14t = -1(3 + t) + t 15 + 14t = (3 * -1 + t * -1) + t 15 + 14t = (-3 + -1t) + t Combine like terms: -1t + t = 0 15 + 14t = -3 + 0 15 + 14t = -3 Solving 15 + 14t = -3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 14t = -3 + -15 Combine like terms: 15 + -15 = 0 0 + 14t = -3 + -15 14t = -3 + -15 Combine like terms: -3 + -15 = -18 14t = -18 Divide each side by '14'. t = -1.285714286 Simplifying t = -1.285714286
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