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Simplifying -8(t + -6) + -1(t + 8) = 1 Reorder the terms: -8(-6 + t) + -1(t + 8) = 1 (-6 * -8 + t * -8) + -1(t + 8) = 1 (48 + -8t) + -1(t + 8) = 1 Reorder the terms: 48 + -8t + -1(8 + t) = 1 48 + -8t + (8 * -1 + t * -1) = 1 48 + -8t + (-8 + -1t) = 1 Reorder the terms: 48 + -8 + -8t + -1t = 1 Combine like terms: 48 + -8 = 40 40 + -8t + -1t = 1 Combine like terms: -8t + -1t = -9t 40 + -9t = 1 Solving 40 + -9t = 1 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -9t = 1 + -40 Combine like terms: 40 + -40 = 0 0 + -9t = 1 + -40 -9t = 1 + -40 Combine like terms: 1 + -40 = -39 -9t = -39 Divide each side by '-9'. t = 4.333333333 Simplifying t = 4.333333333
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