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Simplifying 5t + 7(1.2 + -1t) = 6 5t + (1.2 * 7 + -1t * 7) = 6 5t + (8.4 + -7t) = 6 Reorder the terms: 8.4 + 5t + -7t = 6 Combine like terms: 5t + -7t = -2t 8.4 + -2t = 6 Solving 8.4 + -2t = 6 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 + -2t = 6 + -8.4 Combine like terms: 8.4 + -8.4 = 0.0 0.0 + -2t = 6 + -8.4 -2t = 6 + -8.4 Combine like terms: 6 + -8.4 = -2.4 -2t = -2.4 Divide each side by '-2'. t = 1.2 Simplifying t = 1.2
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