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Simplifying 0.54 + 0.32t = 3.12t + -1.14 Reorder the terms: 0.54 + 0.32t = -1.14 + 3.12t Solving 0.54 + 0.32t = -1.14 + 3.12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3.12t' to each side of the equation. 0.54 + 0.32t + -3.12t = -1.14 + 3.12t + -3.12t Combine like terms: 0.32t + -3.12t = -2.8t 0.54 + -2.8t = -1.14 + 3.12t + -3.12t Combine like terms: 3.12t + -3.12t = 0.00 0.54 + -2.8t = -1.14 + 0.00 0.54 + -2.8t = -1.14 Add '-0.54' to each side of the equation. 0.54 + -0.54 + -2.8t = -1.14 + -0.54 Combine like terms: 0.54 + -0.54 = 0.00 0.00 + -2.8t = -1.14 + -0.54 -2.8t = -1.14 + -0.54 Combine like terms: -1.14 + -0.54 = -1.68 -2.8t = -1.68 Divide each side by '-2.8'. t = 0.6 Simplifying t = 0.6
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