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Simplifying -2(t + -9) + -1(t + 1) = 11 Reorder the terms: -2(-9 + t) + -1(t + 1) = 11 (-9 * -2 + t * -2) + -1(t + 1) = 11 (18 + -2t) + -1(t + 1) = 11 Reorder the terms: 18 + -2t + -1(1 + t) = 11 18 + -2t + (1 * -1 + t * -1) = 11 18 + -2t + (-1 + -1t) = 11 Reorder the terms: 18 + -1 + -2t + -1t = 11 Combine like terms: 18 + -1 = 17 17 + -2t + -1t = 11 Combine like terms: -2t + -1t = -3t 17 + -3t = 11 Solving 17 + -3t = 11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -3t = 11 + -17 Combine like terms: 17 + -17 = 0 0 + -3t = 11 + -17 -3t = 11 + -17 Combine like terms: 11 + -17 = -6 -3t = -6 Divide each side by '-3'. t = 2 Simplifying t = 2
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