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Simplifying 5t + 8(1.2 + -1t) = 9 5t + (1.2 * 8 + -1t * 8) = 9 5t + (9.6 + -8t) = 9 Reorder the terms: 9.6 + 5t + -8t = 9 Combine like terms: 5t + -8t = -3t 9.6 + -3t = 9 Solving 9.6 + -3t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9.6' to each side of the equation. 9.6 + -9.6 + -3t = 9 + -9.6 Combine like terms: 9.6 + -9.6 = 0.0 0.0 + -3t = 9 + -9.6 -3t = 9 + -9.6 Combine like terms: 9 + -9.6 = -0.6 -3t = -0.6 Divide each side by '-3'. t = 0.2 Simplifying t = 0.2
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