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Simplifying 5t + 6(1.4 + -1t) = 8 5t + (1.4 * 6 + -1t * 6) = 8 5t + (8.4 + -6t) = 8 Reorder the terms: 8.4 + 5t + -6t = 8 Combine like terms: 5t + -6t = -1t 8.4 + -1t = 8 Solving 8.4 + -1t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8.4' to each side of the equation. 8.4 + -8.4 + -1t = 8 + -8.4 Combine like terms: 8.4 + -8.4 = 0.0 0.0 + -1t = 8 + -8.4 -1t = 8 + -8.4 Combine like terms: 8 + -8.4 = -0.4 -1t = -0.4 Divide each side by '-1'. t = 0.4 Simplifying t = 0.4
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