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Simplifying 3.6(t + 0.1666) = 4.2(t + 0.166666) Reorder the terms: 3.6(0.1666 + t) = 4.2(t + 0.166666) (0.1666 * 3.6 + t * 3.6) = 4.2(t + 0.166666) (0.59976 + 3.6t) = 4.2(t + 0.166666) Reorder the terms: 0.59976 + 3.6t = 4.2(0.166666 + t) 0.59976 + 3.6t = (0.166666 * 4.2 + t * 4.2) 0.59976 + 3.6t = (0.6999972 + 4.2t) Solving 0.59976 + 3.6t = 0.6999972 + 4.2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4.2t' to each side of the equation. 0.59976 + 3.6t + -4.2t = 0.6999972 + 4.2t + -4.2t Combine like terms: 3.6t + -4.2t = -0.6t 0.59976 + -0.6t = 0.6999972 + 4.2t + -4.2t Combine like terms: 4.2t + -4.2t = 0.0 0.59976 + -0.6t = 0.6999972 + 0.0 0.59976 + -0.6t = 0.6999972 Add '-0.59976' to each side of the equation. 0.59976 + -0.59976 + -0.6t = 0.6999972 + -0.59976 Combine like terms: 0.59976 + -0.59976 = 0.00000 0.00000 + -0.6t = 0.6999972 + -0.59976 -0.6t = 0.6999972 + -0.59976 Combine like terms: 0.6999972 + -0.59976 = 0.1002372 -0.6t = 0.1002372 Divide each side by '-0.6'. t = -0.167062 Simplifying t = -0.167062
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