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Simplifying -9(t + -4) + -1(t + 9) = 6 Reorder the terms: -9(-4 + t) + -1(t + 9) = 6 (-4 * -9 + t * -9) + -1(t + 9) = 6 (36 + -9t) + -1(t + 9) = 6 Reorder the terms: 36 + -9t + -1(9 + t) = 6 36 + -9t + (9 * -1 + t * -1) = 6 36 + -9t + (-9 + -1t) = 6 Reorder the terms: 36 + -9 + -9t + -1t = 6 Combine like terms: 36 + -9 = 27 27 + -9t + -1t = 6 Combine like terms: -9t + -1t = -10t 27 + -10t = 6 Solving 27 + -10t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -10t = 6 + -27 Combine like terms: 27 + -27 = 0 0 + -10t = 6 + -27 -10t = 6 + -27 Combine like terms: 6 + -27 = -21 -10t = -21 Divide each side by '-10'. t = 2.1 Simplifying t = 2.1
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