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Simplifying 8.3t + 15.67 + 7.9t = -13.73 + 9.2t Reorder the terms: 15.67 + 8.3t + 7.9t = -13.73 + 9.2t Combine like terms: 8.3t + 7.9t = 16.2t 15.67 + 16.2t = -13.73 + 9.2t Solving 15.67 + 16.2t = -13.73 + 9.2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9.2t' to each side of the equation. 15.67 + 16.2t + -9.2t = -13.73 + 9.2t + -9.2t Combine like terms: 16.2t + -9.2t = 7t 15.67 + 7t = -13.73 + 9.2t + -9.2t Combine like terms: 9.2t + -9.2t = 0.0 15.67 + 7t = -13.73 + 0.0 15.67 + 7t = -13.73 Add '-15.67' to each side of the equation. 15.67 + -15.67 + 7t = -13.73 + -15.67 Combine like terms: 15.67 + -15.67 = 0.00 0.00 + 7t = -13.73 + -15.67 7t = -13.73 + -15.67 Combine like terms: -13.73 + -15.67 = -29.4 7t = -29.4 Divide each side by '7'. t = -4.2 Simplifying t = -4.2
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