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Simplifying 0.5t + 0.7(30 + -1t) = 17.6 0.5t + (30 * 0.7 + -1t * 0.7) = 17.6 0.5t + (21 + -0.7t) = 17.6 Reorder the terms: 21 + 0.5t + -0.7t = 17.6 Combine like terms: 0.5t + -0.7t = -0.2t 21 + -0.2t = 17.6 Solving 21 + -0.2t = 17.6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -0.2t = 17.6 + -21 Combine like terms: 21 + -21 = 0 0 + -0.2t = 17.6 + -21 -0.2t = 17.6 + -21 Combine like terms: 17.6 + -21 = -3.4 -0.2t = -3.4 Divide each side by '-0.2'. t = 17 Simplifying t = 17
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