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Simplifying -8(t + -7) + -1(t + 3) = 4 Reorder the terms: -8(-7 + t) + -1(t + 3) = 4 (-7 * -8 + t * -8) + -1(t + 3) = 4 (56 + -8t) + -1(t + 3) = 4 Reorder the terms: 56 + -8t + -1(3 + t) = 4 56 + -8t + (3 * -1 + t * -1) = 4 56 + -8t + (-3 + -1t) = 4 Reorder the terms: 56 + -3 + -8t + -1t = 4 Combine like terms: 56 + -3 = 53 53 + -8t + -1t = 4 Combine like terms: -8t + -1t = -9t 53 + -9t = 4 Solving 53 + -9t = 4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + -9t = 4 + -53 Combine like terms: 53 + -53 = 0 0 + -9t = 4 + -53 -9t = 4 + -53 Combine like terms: 4 + -53 = -49 -9t = -49 Divide each side by '-9'. t = 5.444444444 Simplifying t = 5.444444444
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