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Simplifying 0.143(8t + -8) = t + 0.571 Reorder the terms: 0.143(-8 + 8t) = t + 0.571 (-8 * 0.143 + 8t * 0.143) = t + 0.571 (-1.144 + 1.144t) = t + 0.571 Reorder the terms: -1.144 + 1.144t = 0.571 + t Solving -1.144 + 1.144t = 0.571 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -1.144 + 1.144t + -1t = 0.571 + t + -1t Combine like terms: 1.144t + -1t = 0.144t -1.144 + 0.144t = 0.571 + t + -1t Combine like terms: t + -1t = 0 -1.144 + 0.144t = 0.571 + 0 -1.144 + 0.144t = 0.571 Add '1.144' to each side of the equation. -1.144 + 1.144 + 0.144t = 0.571 + 1.144 Combine like terms: -1.144 + 1.144 = 0.000 0.000 + 0.144t = 0.571 + 1.144 0.144t = 0.571 + 1.144 Combine like terms: 0.571 + 1.144 = 1.715 0.144t = 1.715 Divide each side by '0.144'. t = 11.90972222 Simplifying t = 11.90972222
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