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Simplifying 8(t + 1) = 20t Reorder the terms: 8(1 + t) = 20t (1 * 8 + t * 8) = 20t (8 + 8t) = 20t Solving 8 + 8t = 20t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-20t' to each side of the equation. 8 + 8t + -20t = 20t + -20t Combine like terms: 8t + -20t = -12t 8 + -12t = 20t + -20t Combine like terms: 20t + -20t = 0 8 + -12t = 0 Add '-8' to each side of the equation. 8 + -8 + -12t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -12t = 0 + -8 -12t = 0 + -8 Combine like terms: 0 + -8 = -8 -12t = -8 Divide each side by '-12'. t = 0.6666666667 Simplifying t = 0.6666666667
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