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Simplifying 9t + 9 = 6 + 8(t + -9) Reorder the terms: 9 + 9t = 6 + 8(t + -9) Reorder the terms: 9 + 9t = 6 + 8(-9 + t) 9 + 9t = 6 + (-9 * 8 + t * 8) 9 + 9t = 6 + (-72 + 8t) Combine like terms: 6 + -72 = -66 9 + 9t = -66 + 8t Solving 9 + 9t = -66 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 9 + 9t + -8t = -66 + 8t + -8t Combine like terms: 9t + -8t = 1t 9 + 1t = -66 + 8t + -8t Combine like terms: 8t + -8t = 0 9 + 1t = -66 + 0 9 + 1t = -66 Add '-9' to each side of the equation. 9 + -9 + 1t = -66 + -9 Combine like terms: 9 + -9 = 0 0 + 1t = -66 + -9 1t = -66 + -9 Combine like terms: -66 + -9 = -75 1t = -75 Divide each side by '1'. t = -75 Simplifying t = -75
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