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Simplifying 0.7t + 0.9(12 + -1t) = 9.8 0.7t + (12 * 0.9 + -1t * 0.9) = 9.8 0.7t + (10.8 + -0.9t) = 9.8 Reorder the terms: 10.8 + 0.7t + -0.9t = 9.8 Combine like terms: 0.7t + -0.9t = -0.2t 10.8 + -0.2t = 9.8 Solving 10.8 + -0.2t = 9.8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10.8' to each side of the equation. 10.8 + -10.8 + -0.2t = 9.8 + -10.8 Combine like terms: 10.8 + -10.8 = 0.0 0.0 + -0.2t = 9.8 + -10.8 -0.2t = 9.8 + -10.8 Combine like terms: 9.8 + -10.8 = -1 -0.2t = -1 Divide each side by '-0.2'. t = 5 Simplifying t = 5
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