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Simplifying -9(t + -2) + -1(t + 1) = 1 Reorder the terms: -9(-2 + t) + -1(t + 1) = 1 (-2 * -9 + t * -9) + -1(t + 1) = 1 (18 + -9t) + -1(t + 1) = 1 Reorder the terms: 18 + -9t + -1(1 + t) = 1 18 + -9t + (1 * -1 + t * -1) = 1 18 + -9t + (-1 + -1t) = 1 Reorder the terms: 18 + -1 + -9t + -1t = 1 Combine like terms: 18 + -1 = 17 17 + -9t + -1t = 1 Combine like terms: -9t + -1t = -10t 17 + -10t = 1 Solving 17 + -10t = 1 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 + -10t = 1 + -17 Combine like terms: 17 + -17 = 0 0 + -10t = 1 + -17 -10t = 1 + -17 Combine like terms: 1 + -17 = -16 -10t = -16 Divide each side by '-10'. t = 1.6 Simplifying t = 1.6
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