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Simplifying 5t + 8(1.8 + -1t) = 12 5t + (1.8 * 8 + -1t * 8) = 12 5t + (14.4 + -8t) = 12 Reorder the terms: 14.4 + 5t + -8t = 12 Combine like terms: 5t + -8t = -3t 14.4 + -3t = 12 Solving 14.4 + -3t = 12 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14.4' to each side of the equation. 14.4 + -14.4 + -3t = 12 + -14.4 Combine like terms: 14.4 + -14.4 = 0.0 0.0 + -3t = 12 + -14.4 -3t = 12 + -14.4 Combine like terms: 12 + -14.4 = -2.4 -3t = -2.4 Divide each side by '-3'. t = 0.8 Simplifying t = 0.8
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