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Simplifying 8.6t + -19.87 = 16.9t + -5.7t + 19.13 Reorder the terms: -19.87 + 8.6t = 16.9t + -5.7t + 19.13 Reorder the terms: -19.87 + 8.6t = 19.13 + 16.9t + -5.7t Combine like terms: 16.9t + -5.7t = 11.2t -19.87 + 8.6t = 19.13 + 11.2t Solving -19.87 + 8.6t = 19.13 + 11.2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-11.2t' to each side of the equation. -19.87 + 8.6t + -11.2t = 19.13 + 11.2t + -11.2t Combine like terms: 8.6t + -11.2t = -2.6t -19.87 + -2.6t = 19.13 + 11.2t + -11.2t Combine like terms: 11.2t + -11.2t = 0.0 -19.87 + -2.6t = 19.13 + 0.0 -19.87 + -2.6t = 19.13 Add '19.87' to each side of the equation. -19.87 + 19.87 + -2.6t = 19.13 + 19.87 Combine like terms: -19.87 + 19.87 = 0.00 0.00 + -2.6t = 19.13 + 19.87 -2.6t = 19.13 + 19.87 Combine like terms: 19.13 + 19.87 = 39 -2.6t = 39 Divide each side by '-2.6'. t = -15 Simplifying t = -15
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