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Simplifying 5t + 6(1.6 + -1t) = 8 5t + (1.6 * 6 + -1t * 6) = 8 5t + (9.6 + -6t) = 8 Reorder the terms: 9.6 + 5t + -6t = 8 Combine like terms: 5t + -6t = -1t 9.6 + -1t = 8 Solving 9.6 + -1t = 8 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 + -1t = 8 + -9.6 Combine like terms: 9.6 + -9.6 = 0.0 0.0 + -1t = 8 + -9.6 -1t = 8 + -9.6 Combine like terms: 8 + -9.6 = -1.6 -1t = -1.6 Divide each side by '-1'. t = 1.6 Simplifying t = 1.6
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