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Simplifying -8(t + -6) + -1(t + 6) = 7 Reorder the terms: -8(-6 + t) + -1(t + 6) = 7 (-6 * -8 + t * -8) + -1(t + 6) = 7 (48 + -8t) + -1(t + 6) = 7 Reorder the terms: 48 + -8t + -1(6 + t) = 7 48 + -8t + (6 * -1 + t * -1) = 7 48 + -8t + (-6 + -1t) = 7 Reorder the terms: 48 + -6 + -8t + -1t = 7 Combine like terms: 48 + -6 = 42 42 + -8t + -1t = 7 Combine like terms: -8t + -1t = -9t 42 + -9t = 7 Solving 42 + -9t = 7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -9t = 7 + -42 Combine like terms: 42 + -42 = 0 0 + -9t = 7 + -42 -9t = 7 + -42 Combine like terms: 7 + -42 = -35 -9t = -35 Divide each side by '-9'. t = 3.888888889 Simplifying t = 3.888888889
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