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Simplifying 0.54 + 0.33t = 2.40t + -0.84 Reorder the terms: 0.54 + 0.33t = -0.84 + 2.40t Solving 0.54 + 0.33t = -0.84 + 2.40t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.40t' to each side of the equation. 0.54 + 0.33t + -2.40t = -0.84 + 2.40t + -2.40t Combine like terms: 0.33t + -2.40t = -2.07t 0.54 + -2.07t = -0.84 + 2.40t + -2.40t Combine like terms: 2.40t + -2.40t = 0.00 0.54 + -2.07t = -0.84 + 0.00 0.54 + -2.07t = -0.84 Add '-0.54' to each side of the equation. 0.54 + -0.54 + -2.07t = -0.84 + -0.54 Combine like terms: 0.54 + -0.54 = 0.00 0.00 + -2.07t = -0.84 + -0.54 -2.07t = -0.84 + -0.54 Combine like terms: -0.84 + -0.54 = -1.38 -2.07t = -1.38 Divide each side by '-2.07'. t = 0.6666666667 Simplifying t = 0.6666666667
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