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Simplifying 564t = 744(t + 0.5) Reorder the terms: 564t = 744(0.5 + t) 564t = (0.5 * 744 + t * 744) 564t = (372 + 744t) Solving 564t = 372 + 744t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-744t' to each side of the equation. 564t + -744t = 372 + 744t + -744t Combine like terms: 564t + -744t = -180t -180t = 372 + 744t + -744t Combine like terms: 744t + -744t = 0 -180t = 372 + 0 -180t = 372 Divide each side by '-180'. t = -2.066666667 Simplifying t = -2.066666667
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