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Simplifying 5t + 8(1.4 + -1t) = 8 5t + (1.4 * 8 + -1t * 8) = 8 5t + (11.2 + -8t) = 8 Reorder the terms: 11.2 + 5t + -8t = 8 Combine like terms: 5t + -8t = -3t 11.2 + -3t = 8 Solving 11.2 + -3t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-11.2' to each side of the equation. 11.2 + -11.2 + -3t = 8 + -11.2 Combine like terms: 11.2 + -11.2 = 0.0 0.0 + -3t = 8 + -11.2 -3t = 8 + -11.2 Combine like terms: 8 + -11.2 = -3.2 -3t = -3.2 Divide each side by '-3'. t = 1.066666667 Simplifying t = 1.066666667
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