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Simplifying 5t + 6(0.7 + -1t) = 4 5t + (0.7 * 6 + -1t * 6) = 4 5t + (4.2 + -6t) = 4 Reorder the terms: 4.2 + 5t + -6t = 4 Combine like terms: 5t + -6t = -1t 4.2 + -1t = 4 Solving 4.2 + -1t = 4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4.2' to each side of the equation. 4.2 + -4.2 + -1t = 4 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + -1t = 4 + -4.2 -1t = 4 + -4.2 Combine like terms: 4 + -4.2 = -0.2 -1t = -0.2 Divide each side by '-1'. t = 0.2 Simplifying t = 0.2
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