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Simplifying 2.6(t + 2) = 2(1.3t + 2) * 1.2 Reorder the terms: 2.6(2 + t) = 2(1.3t + 2) * 1.2 (2 * 2.6 + t * 2.6) = 2(1.3t + 2) * 1.2 (5.2 + 2.6t) = 2(1.3t + 2) * 1.2 Reorder the terms: 5.2 + 2.6t = 2(2 + 1.3t) * 1.2 Reorder the terms for easier multiplication: 5.2 + 2.6t = 2 * 1.2(2 + 1.3t) Multiply 2 * 1.2 5.2 + 2.6t = 2.4(2 + 1.3t) 5.2 + 2.6t = (2 * 2.4 + 1.3t * 2.4) 5.2 + 2.6t = (4.8 + 3.12t) Solving 5.2 + 2.6t = 4.8 + 3.12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3.12t' to each side of the equation. 5.2 + 2.6t + -3.12t = 4.8 + 3.12t + -3.12t Combine like terms: 2.6t + -3.12t = -0.52t 5.2 + -0.52t = 4.8 + 3.12t + -3.12t Combine like terms: 3.12t + -3.12t = 0.00 5.2 + -0.52t = 4.8 + 0.00 5.2 + -0.52t = 4.8 Add '-5.2' to each side of the equation. 5.2 + -5.2 + -0.52t = 4.8 + -5.2 Combine like terms: 5.2 + -5.2 = 0.0 0.0 + -0.52t = 4.8 + -5.2 -0.52t = 4.8 + -5.2 Combine like terms: 4.8 + -5.2 = -0.4 -0.52t = -0.4 Divide each side by '-0.52'. t = 0.7692307692 Simplifying t = 0.7692307692
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