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Simplifying 0.666666667(3t + -6) + 1 = 5 Reorder the terms: 0.666666667(-6 + 3t) + 1 = 5 (-6 * 0.666666667 + 3t * 0.666666667) + 1 = 5 (-4.000000002 + 2.000000001t) + 1 = 5 Reorder the terms: -4.000000002 + 1 + 2.000000001t = 5 Combine like terms: -4.000000002 + 1 = -3.000000002 -3.000000002 + 2.000000001t = 5 Solving -3.000000002 + 2.000000001t = 5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.000000002' to each side of the equation. -3.000000002 + 3.000000002 + 2.000000001t = 5 + 3.000000002 Combine like terms: -3.000000002 + 3.000000002 = 0.000000000 0.000000000 + 2.000000001t = 5 + 3.000000002 2.000000001t = 5 + 3.000000002 Combine like terms: 5 + 3.000000002 = 8.000000002 2.000000001t = 8.000000002 Divide each side by '2.000000001'. t = 3.999999999 Simplifying t = 3.999999999
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