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Simplifying 0.3t + 0.6(13 + -1t) = 5.4 0.3t + (13 * 0.6 + -1t * 0.6) = 5.4 0.3t + (7.8 + -0.6t) = 5.4 Reorder the terms: 7.8 + 0.3t + -0.6t = 5.4 Combine like terms: 0.3t + -0.6t = -0.3t 7.8 + -0.3t = 5.4 Solving 7.8 + -0.3t = 5.4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7.8' to each side of the equation. 7.8 + -7.8 + -0.3t = 5.4 + -7.8 Combine like terms: 7.8 + -7.8 = 0.0 0.0 + -0.3t = 5.4 + -7.8 -0.3t = 5.4 + -7.8 Combine like terms: 5.4 + -7.8 = -2.4 -0.3t = -2.4 Divide each side by '-0.3'. t = 8 Simplifying t = 8
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