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Simplifying 1.66666(8t + -5) = (t + 5)(0.08333333) Reorder the terms: 1.66666(-5 + 8t) = (t + 5)(0.08333333) (-5 * 1.66666 + 8t * 1.66666) = (t + 5)(0.08333333) (-8.3333 + 13.33328t) = (t + 5)(0.08333333) Reorder the terms: -8.3333 + 13.33328t = (5 + t)(0.08333333) Reorder the terms for easier multiplication: -8.3333 + 13.33328t = 0.08333333(5 + t) -8.3333 + 13.33328t = (5 * 0.08333333 + t * 0.08333333) -8.3333 + 13.33328t = (0.41666665 + 0.08333333t) Solving -8.3333 + 13.33328t = 0.41666665 + 0.08333333t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.08333333t' to each side of the equation. -8.3333 + 13.33328t + -0.08333333t = 0.41666665 + 0.08333333t + -0.08333333t Combine like terms: 13.33328t + -0.08333333t = 13.24994667t -8.3333 + 13.24994667t = 0.41666665 + 0.08333333t + -0.08333333t Combine like terms: 0.08333333t + -0.08333333t = 0.00000000 -8.3333 + 13.24994667t = 0.41666665 + 0.00000000 -8.3333 + 13.24994667t = 0.41666665 Add '8.3333' to each side of the equation. -8.3333 + 8.3333 + 13.24994667t = 0.41666665 + 8.3333 Combine like terms: -8.3333 + 8.3333 = 0.0000 0.0000 + 13.24994667t = 0.41666665 + 8.3333 13.24994667t = 0.41666665 + 8.3333 Combine like terms: 0.41666665 + 8.3333 = 8.74996665 13.24994667t = 8.74996665 Divide each side by '13.24994667'. t = 0.6603774995 Simplifying t = 0.6603774995
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