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Algebra / Linear equations in one variable Difficulty: Hard

What value of t is the solution to the equation 0.8t-0.46=8t-0.001+1.9?

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Explanation

The correct answer is -.3267. Applying the distributive property to the right-hand side of the given equation yields 0.8t-0.46=8t-0.008+1.9, or 0.8t-0.46=8t+1.892. Subtracting 0.8t from both sides of this equation yields -0.46=7.2t+1.892. Subtracting 1.892 from both sides of this equation yields -2.352=7.2t. Dividing both sides of this equation by 7.2 yields -2.3527.2=t. Therefore, the value of t is approximately -0.32667. Note that -.3267, -.3266, -0.326, and -0.327 are examples of ways to enter a correct answer.