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Simplifying -8(t + 7) + -1(t + 3) = 5 Reorder the terms: -8(7 + t) + -1(t + 3) = 5 (7 * -8 + t * -8) + -1(t + 3) = 5 (-56 + -8t) + -1(t + 3) = 5 Reorder the terms: -56 + -8t + -1(3 + t) = 5 -56 + -8t + (3 * -1 + t * -1) = 5 -56 + -8t + (-3 + -1t) = 5 Reorder the terms: -56 + -3 + -8t + -1t = 5 Combine like terms: -56 + -3 = -59 -59 + -8t + -1t = 5 Combine like terms: -8t + -1t = -9t -59 + -9t = 5 Solving -59 + -9t = 5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '59' to each side of the equation. -59 + 59 + -9t = 5 + 59 Combine like terms: -59 + 59 = 0 0 + -9t = 5 + 59 -9t = 5 + 59 Combine like terms: 5 + 59 = 64 -9t = 64 Divide each side by '-9'. t = -7.111111111 Simplifying t = -7.111111111
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