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Simplifying -9(t + -2) + -1(t + 9) = 10 Reorder the terms: -9(-2 + t) + -1(t + 9) = 10 (-2 * -9 + t * -9) + -1(t + 9) = 10 (18 + -9t) + -1(t + 9) = 10 Reorder the terms: 18 + -9t + -1(9 + t) = 10 18 + -9t + (9 * -1 + t * -1) = 10 18 + -9t + (-9 + -1t) = 10 Reorder the terms: 18 + -9 + -9t + -1t = 10 Combine like terms: 18 + -9 = 9 9 + -9t + -1t = 10 Combine like terms: -9t + -1t = -10t 9 + -10t = 10 Solving 9 + -10t = 10 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -10t = 10 + -9 Combine like terms: 9 + -9 = 0 0 + -10t = 10 + -9 -10t = 10 + -9 Combine like terms: 10 + -9 = 1 -10t = 1 Divide each side by '-10'. t = -0.1 Simplifying t = -0.1
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