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Simplifying -8(t + -3) + -1(t + 4) = 7 Reorder the terms: -8(-3 + t) + -1(t + 4) = 7 (-3 * -8 + t * -8) + -1(t + 4) = 7 (24 + -8t) + -1(t + 4) = 7 Reorder the terms: 24 + -8t + -1(4 + t) = 7 24 + -8t + (4 * -1 + t * -1) = 7 24 + -8t + (-4 + -1t) = 7 Reorder the terms: 24 + -4 + -8t + -1t = 7 Combine like terms: 24 + -4 = 20 20 + -8t + -1t = 7 Combine like terms: -8t + -1t = -9t 20 + -9t = 7 Solving 20 + -9t = 7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -9t = 7 + -20 Combine like terms: 20 + -20 = 0 0 + -9t = 7 + -20 -9t = 7 + -20 Combine like terms: 7 + -20 = -13 -9t = -13 Divide each side by '-9'. t = 1.444444444 Simplifying t = 1.444444444
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