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Simplifying -8 = 0.111(-9t + 27) Reorder the terms: -8 = 0.111(27 + -9t) -8 = (27 * 0.111 + -9t * 0.111) -8 = (2.997 + -0.999t) Solving -8 = 2.997 + -0.999t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.999t' to each side of the equation. -8 + 0.999t = 2.997 + -0.999t + 0.999t Combine like terms: -0.999t + 0.999t = 0.000 -8 + 0.999t = 2.997 + 0.000 -8 + 0.999t = 2.997 Add '8' to each side of the equation. -8 + 8 + 0.999t = 2.997 + 8 Combine like terms: -8 + 8 = 0 0 + 0.999t = 2.997 + 8 0.999t = 2.997 + 8 Combine like terms: 2.997 + 8 = 10.997 0.999t = 10.997 Divide each side by '0.999'. t = 11.00800801 Simplifying t = 11.00800801
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