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Simplifying 0.125t + -0.03125 + 0.50t = 0.50 + t Reorder the terms: -0.03125 + 0.125t + 0.50t = 0.50 + t Combine like terms: 0.125t + 0.50t = 0.625t -0.03125 + 0.625t = 0.50 + t Solving -0.03125 + 0.625t = 0.50 + 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. -0.03125 + 0.625t + -1t = 0.50 + t + -1t Combine like terms: 0.625t + -1t = -0.375t -0.03125 + -0.375t = 0.50 + t + -1t Combine like terms: t + -1t = 0 -0.03125 + -0.375t = 0.50 + 0 -0.03125 + -0.375t = 0.50 Add '0.03125' to each side of the equation. -0.03125 + 0.03125 + -0.375t = 0.50 + 0.03125 Combine like terms: -0.03125 + 0.03125 = 0.00000 0.00000 + -0.375t = 0.50 + 0.03125 -0.375t = 0.50 + 0.03125 Combine like terms: 0.50 + 0.03125 = 0.53125 -0.375t = 0.53125 Divide each side by '-0.375'. t = -1.416666667 Simplifying t = -1.416666667
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