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Simplifying -9(t + -8) + -1(t + 1) = 5 Reorder the terms: -9(-8 + t) + -1(t + 1) = 5 (-8 * -9 + t * -9) + -1(t + 1) = 5 (72 + -9t) + -1(t + 1) = 5 Reorder the terms: 72 + -9t + -1(1 + t) = 5 72 + -9t + (1 * -1 + t * -1) = 5 72 + -9t + (-1 + -1t) = 5 Reorder the terms: 72 + -1 + -9t + -1t = 5 Combine like terms: 72 + -1 = 71 71 + -9t + -1t = 5 Combine like terms: -9t + -1t = -10t 71 + -10t = 5 Solving 71 + -10t = 5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-71' to each side of the equation. 71 + -71 + -10t = 5 + -71 Combine like terms: 71 + -71 = 0 0 + -10t = 5 + -71 -10t = 5 + -71 Combine like terms: 5 + -71 = -66 -10t = -66 Divide each side by '-10'. t = 6.6 Simplifying t = 6.6
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