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Simplifying 24.3t + 14 + -3.2t + -87 = 2.7t + -22 + 2.8t + 21 Reorder the terms: 14 + -87 + 24.3t + -3.2t = 2.7t + -22 + 2.8t + 21 Combine like terms: 14 + -87 = -73 -73 + 24.3t + -3.2t = 2.7t + -22 + 2.8t + 21 Combine like terms: 24.3t + -3.2t = 21.1t -73 + 21.1t = 2.7t + -22 + 2.8t + 21 Reorder the terms: -73 + 21.1t = -22 + 21 + 2.7t + 2.8t Combine like terms: -22 + 21 = -1 -73 + 21.1t = -1 + 2.7t + 2.8t Combine like terms: 2.7t + 2.8t = 5.5t -73 + 21.1t = -1 + 5.5t Solving -73 + 21.1t = -1 + 5.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5.5t' to each side of the equation. -73 + 21.1t + -5.5t = -1 + 5.5t + -5.5t Combine like terms: 21.1t + -5.5t = 15.6t -73 + 15.6t = -1 + 5.5t + -5.5t Combine like terms: 5.5t + -5.5t = 0.0 -73 + 15.6t = -1 + 0.0 -73 + 15.6t = -1 Add '73' to each side of the equation. -73 + 73 + 15.6t = -1 + 73 Combine like terms: -73 + 73 = 0 0 + 15.6t = -1 + 73 15.6t = -1 + 73 Combine like terms: -1 + 73 = 72 15.6t = 72 Divide each side by '15.6'. t = 4.615384615 Simplifying t = 4.615384615
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