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Simplifying 0.54 + 0.35t = 1.61t + -0.30 Reorder the terms: 0.54 + 0.35t = -0.30 + 1.61t Solving 0.54 + 0.35t = -0.30 + 1.61t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.61t' to each side of the equation. 0.54 + 0.35t + -1.61t = -0.30 + 1.61t + -1.61t Combine like terms: 0.35t + -1.61t = -1.26t 0.54 + -1.26t = -0.30 + 1.61t + -1.61t Combine like terms: 1.61t + -1.61t = 0.00 0.54 + -1.26t = -0.30 + 0.00 0.54 + -1.26t = -0.30 Add '-0.54' to each side of the equation. 0.54 + -0.54 + -1.26t = -0.30 + -0.54 Combine like terms: 0.54 + -0.54 = 0.00 0.00 + -1.26t = -0.30 + -0.54 -1.26t = -0.30 + -0.54 Combine like terms: -0.30 + -0.54 = -0.84 -1.26t = -0.84 Divide each side by '-1.26'. t = 0.6666666667 Simplifying t = 0.6666666667
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