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Simplifying 0.66(24t + -9) = 8t + 23 Reorder the terms: 0.66(-9 + 24t) = 8t + 23 (-9 * 0.66 + 24t * 0.66) = 8t + 23 (-5.94 + 15.84t) = 8t + 23 Reorder the terms: -5.94 + 15.84t = 23 + 8t Solving -5.94 + 15.84t = 23 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. -5.94 + 15.84t + -8t = 23 + 8t + -8t Combine like terms: 15.84t + -8t = 7.84t -5.94 + 7.84t = 23 + 8t + -8t Combine like terms: 8t + -8t = 0 -5.94 + 7.84t = 23 + 0 -5.94 + 7.84t = 23 Add '5.94' to each side of the equation. -5.94 + 5.94 + 7.84t = 23 + 5.94 Combine like terms: -5.94 + 5.94 = 0.00 0.00 + 7.84t = 23 + 5.94 7.84t = 23 + 5.94 Combine like terms: 23 + 5.94 = 28.94 7.84t = 28.94 Divide each side by '7.84'. t = 3.691326531 Simplifying t = 3.691326531
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