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Simplifying -8(t + -8) + -1(t + 1) = 7 Reorder the terms: -8(-8 + t) + -1(t + 1) = 7 (-8 * -8 + t * -8) + -1(t + 1) = 7 (64 + -8t) + -1(t + 1) = 7 Reorder the terms: 64 + -8t + -1(1 + t) = 7 64 + -8t + (1 * -1 + t * -1) = 7 64 + -8t + (-1 + -1t) = 7 Reorder the terms: 64 + -1 + -8t + -1t = 7 Combine like terms: 64 + -1 = 63 63 + -8t + -1t = 7 Combine like terms: -8t + -1t = -9t 63 + -9t = 7 Solving 63 + -9t = 7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + -9t = 7 + -63 Combine like terms: 63 + -63 = 0 0 + -9t = 7 + -63 -9t = 7 + -63 Combine like terms: 7 + -63 = -56 -9t = -56 Divide each side by '-9'. t = 6.222222222 Simplifying t = 6.222222222
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