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Simplifying -8(t + -3) + -1(t + 3) = 11 Reorder the terms: -8(-3 + t) + -1(t + 3) = 11 (-3 * -8 + t * -8) + -1(t + 3) = 11 (24 + -8t) + -1(t + 3) = 11 Reorder the terms: 24 + -8t + -1(3 + t) = 11 24 + -8t + (3 * -1 + t * -1) = 11 24 + -8t + (-3 + -1t) = 11 Reorder the terms: 24 + -3 + -8t + -1t = 11 Combine like terms: 24 + -3 = 21 21 + -8t + -1t = 11 Combine like terms: -8t + -1t = -9t 21 + -9t = 11 Solving 21 + -9t = 11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -9t = 11 + -21 Combine like terms: 21 + -21 = 0 0 + -9t = 11 + -21 -9t = 11 + -21 Combine like terms: 11 + -21 = -10 -9t = -10 Divide each side by '-9'. t = 1.111111111 Simplifying t = 1.111111111
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