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Simplifying -8(t + -3) + -1(t + 1) = 8 Reorder the terms: -8(-3 + t) + -1(t + 1) = 8 (-3 * -8 + t * -8) + -1(t + 1) = 8 (24 + -8t) + -1(t + 1) = 8 Reorder the terms: 24 + -8t + -1(1 + t) = 8 24 + -8t + (1 * -1 + t * -1) = 8 24 + -8t + (-1 + -1t) = 8 Reorder the terms: 24 + -1 + -8t + -1t = 8 Combine like terms: 24 + -1 = 23 23 + -8t + -1t = 8 Combine like terms: -8t + -1t = -9t 23 + -9t = 8 Solving 23 + -9t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -9t = 8 + -23 Combine like terms: 23 + -23 = 0 0 + -9t = 8 + -23 -9t = 8 + -23 Combine like terms: 8 + -23 = -15 -9t = -15 Divide each side by '-9'. t = 1.666666667 Simplifying t = 1.666666667
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