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Simplifying 0.64 + 0.34t = 2.41t + -0.74 Reorder the terms: 0.64 + 0.34t = -0.74 + 2.41t Solving 0.64 + 0.34t = -0.74 + 2.41t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.41t' to each side of the equation. 0.64 + 0.34t + -2.41t = -0.74 + 2.41t + -2.41t Combine like terms: 0.34t + -2.41t = -2.07t 0.64 + -2.07t = -0.74 + 2.41t + -2.41t Combine like terms: 2.41t + -2.41t = 0.00 0.64 + -2.07t = -0.74 + 0.00 0.64 + -2.07t = -0.74 Add '-0.64' to each side of the equation. 0.64 + -0.64 + -2.07t = -0.74 + -0.64 Combine like terms: 0.64 + -0.64 = 0.00 0.00 + -2.07t = -0.74 + -0.64 -2.07t = -0.74 + -0.64 Combine like terms: -0.74 + -0.64 = -1.38 -2.07t = -1.38 Divide each side by '-2.07'. t = 0.6666666667 Simplifying t = 0.6666666667
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