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Simplifying 12.38 + -15.2t = -8.7t + 5.66 + -7.2t Reorder the terms: 12.38 + -15.2t = 5.66 + -8.7t + -7.2t Combine like terms: -8.7t + -7.2t = -15.9t 12.38 + -15.2t = 5.66 + -15.9t Solving 12.38 + -15.2t = 5.66 + -15.9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '15.9t' to each side of the equation. 12.38 + -15.2t + 15.9t = 5.66 + -15.9t + 15.9t Combine like terms: -15.2t + 15.9t = 0.7t 12.38 + 0.7t = 5.66 + -15.9t + 15.9t Combine like terms: -15.9t + 15.9t = 0.0 12.38 + 0.7t = 5.66 + 0.0 12.38 + 0.7t = 5.66 Add '-12.38' to each side of the equation. 12.38 + -12.38 + 0.7t = 5.66 + -12.38 Combine like terms: 12.38 + -12.38 = 0.00 0.00 + 0.7t = 5.66 + -12.38 0.7t = 5.66 + -12.38 Combine like terms: 5.66 + -12.38 = -6.72 0.7t = -6.72 Divide each side by '0.7'. t = -9.6 Simplifying t = -9.6
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