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Simplifying -9(t + -9) + -1(t + 1) = 2 Reorder the terms: -9(-9 + t) + -1(t + 1) = 2 (-9 * -9 + t * -9) + -1(t + 1) = 2 (81 + -9t) + -1(t + 1) = 2 Reorder the terms: 81 + -9t + -1(1 + t) = 2 81 + -9t + (1 * -1 + t * -1) = 2 81 + -9t + (-1 + -1t) = 2 Reorder the terms: 81 + -1 + -9t + -1t = 2 Combine like terms: 81 + -1 = 80 80 + -9t + -1t = 2 Combine like terms: -9t + -1t = -10t 80 + -10t = 2 Solving 80 + -10t = 2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + -10t = 2 + -80 Combine like terms: 80 + -80 = 0 0 + -10t = 2 + -80 -10t = 2 + -80 Combine like terms: 2 + -80 = -78 -10t = -78 Divide each side by '-10'. t = 7.8 Simplifying t = 7.8
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