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Simplifying -8(t + -8) + -1(t + 3) = 8 Reorder the terms: -8(-8 + t) + -1(t + 3) = 8 (-8 * -8 + t * -8) + -1(t + 3) = 8 (64 + -8t) + -1(t + 3) = 8 Reorder the terms: 64 + -8t + -1(3 + t) = 8 64 + -8t + (3 * -1 + t * -1) = 8 64 + -8t + (-3 + -1t) = 8 Reorder the terms: 64 + -3 + -8t + -1t = 8 Combine like terms: 64 + -3 = 61 61 + -8t + -1t = 8 Combine like terms: -8t + -1t = -9t 61 + -9t = 8 Solving 61 + -9t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -61 + -9t = 8 + -61 Combine like terms: 61 + -61 = 0 0 + -9t = 8 + -61 -9t = 8 + -61 Combine like terms: 8 + -61 = -53 -9t = -53 Divide each side by '-9'. t = 5.888888889 Simplifying t = 5.888888889
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