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Simplifying -8(t + -4) + -1(t + 7) = 8 Reorder the terms: -8(-4 + t) + -1(t + 7) = 8 (-4 * -8 + t * -8) + -1(t + 7) = 8 (32 + -8t) + -1(t + 7) = 8 Reorder the terms: 32 + -8t + -1(7 + t) = 8 32 + -8t + (7 * -1 + t * -1) = 8 32 + -8t + (-7 + -1t) = 8 Reorder the terms: 32 + -7 + -8t + -1t = 8 Combine like terms: 32 + -7 = 25 25 + -8t + -1t = 8 Combine like terms: -8t + -1t = -9t 25 + -9t = 8 Solving 25 + -9t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -9t = 8 + -25 Combine like terms: 25 + -25 = 0 0 + -9t = 8 + -25 -9t = 8 + -25 Combine like terms: 8 + -25 = -17 -9t = -17 Divide each side by '-9'. t = 1.888888889 Simplifying t = 1.888888889
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