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Simplifying 8(t + -1) = 24 + -9t Reorder the terms: 8(-1 + t) = 24 + -9t (-1 * 8 + t * 8) = 24 + -9t (-8 + 8t) = 24 + -9t Solving -8 + 8t = 24 + -9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '9t' to each side of the equation. -8 + 8t + 9t = 24 + -9t + 9t Combine like terms: 8t + 9t = 17t -8 + 17t = 24 + -9t + 9t Combine like terms: -9t + 9t = 0 -8 + 17t = 24 + 0 -8 + 17t = 24 Add '8' to each side of the equation. -8 + 8 + 17t = 24 + 8 Combine like terms: -8 + 8 = 0 0 + 17t = 24 + 8 17t = 24 + 8 Combine like terms: 24 + 8 = 32 17t = 32 Divide each side by '17'. t = 1.882352941 Simplifying t = 1.882352941
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