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Simplifying -8(t + -4) + -1(t + 7) = 3 Reorder the terms: -8(-4 + t) + -1(t + 7) = 3 (-4 * -8 + t * -8) + -1(t + 7) = 3 (32 + -8t) + -1(t + 7) = 3 Reorder the terms: 32 + -8t + -1(7 + t) = 3 32 + -8t + (7 * -1 + t * -1) = 3 32 + -8t + (-7 + -1t) = 3 Reorder the terms: 32 + -7 + -8t + -1t = 3 Combine like terms: 32 + -7 = 25 25 + -8t + -1t = 3 Combine like terms: -8t + -1t = -9t 25 + -9t = 3 Solving 25 + -9t = 3 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 = 3 + -25 Combine like terms: 25 + -25 = 0 0 + -9t = 3 + -25 -9t = 3 + -25 Combine like terms: 3 + -25 = -22 -9t = -22 Divide each side by '-9'. t = 2.444444444 Simplifying t = 2.444444444
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