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Simplifying 0.1667(12t + 48) + -20 = -0.125(24t + -144) Reorder the terms: 0.1667(48 + 12t) + -20 = -0.125(24t + -144) (48 * 0.1667 + 12t * 0.1667) + -20 = -0.125(24t + -144) (8.0016 + 2.0004t) + -20 = -0.125(24t + -144) Reorder the terms: 8.0016 + -20 + 2.0004t = -0.125(24t + -144) Combine like terms: 8.0016 + -20 = -11.9984 -11.9984 + 2.0004t = -0.125(24t + -144) Reorder the terms: -11.9984 + 2.0004t = -0.125(-144 + 24t) -11.9984 + 2.0004t = (-144 * -0.125 + 24t * -0.125) -11.9984 + 2.0004t = (18 + -3t) Solving -11.9984 + 2.0004t = 18 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. -11.9984 + 2.0004t + 3t = 18 + -3t + 3t Combine like terms: 2.0004t + 3t = 5.0004t -11.9984 + 5.0004t = 18 + -3t + 3t Combine like terms: -3t + 3t = 0 -11.9984 + 5.0004t = 18 + 0 -11.9984 + 5.0004t = 18 Add '11.9984' to each side of the equation. -11.9984 + 11.9984 + 5.0004t = 18 + 11.9984 Combine like terms: -11.9984 + 11.9984 = 0.0000 0.0000 + 5.0004t = 18 + 11.9984 5.0004t = 18 + 11.9984 Combine like terms: 18 + 11.9984 = 29.9984 5.0004t = 29.9984 Divide each side by '5.0004'. t = 5.999200064 Simplifying t = 5.999200064
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