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Simplifying 0.7 + 0.13 = 0.7(t + 8) Combine like terms: 0.7 + 0.13 = 0.83 0.83 = 0.7(t + 8) Reorder the terms: 0.83 = 0.7(8 + t) 0.83 = (8 * 0.7 + t * 0.7) 0.83 = (5.6 + 0.7t) Solving 0.83 = 5.6 + 0.7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.7t' to each side of the equation. 0.83 + -0.7t = 5.6 + 0.7t + -0.7t Combine like terms: 0.7t + -0.7t = 0.0 0.83 + -0.7t = 5.6 + 0.0 0.83 + -0.7t = 5.6 Add '-0.83' to each side of the equation. 0.83 + -0.83 + -0.7t = 5.6 + -0.83 Combine like terms: 0.83 + -0.83 = 0.00 0.00 + -0.7t = 5.6 + -0.83 -0.7t = 5.6 + -0.83 Combine like terms: 5.6 + -0.83 = 4.77 -0.7t = 4.77 Divide each side by '-0.7'. t = -6.814285714 Simplifying t = -6.814285714
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