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Simplifying 0.02(4t + 1) = 0.08(t + -2) + 0.08 Reorder the terms: 0.02(1 + 4t) = 0.08(t + -2) + 0.08 (1 * 0.02 + 4t * 0.02) = 0.08(t + -2) + 0.08 (0.02 + 0.08t) = 0.08(t + -2) + 0.08 Reorder the terms: 0.02 + 0.08t = 0.08(-2 + t) + 0.08 0.02 + 0.08t = (-2 * 0.08 + t * 0.08) + 0.08 0.02 + 0.08t = (-0.16 + 0.08t) + 0.08 Reorder the terms: 0.02 + 0.08t = -0.16 + 0.08 + 0.08t Combine like terms: -0.16 + 0.08 = -0.08 0.02 + 0.08t = -0.08 + 0.08t Add '-0.08t' to each side of the equation. 0.02 + 0.08t + -0.08t = -0.08 + 0.08t + -0.08t Combine like terms: 0.08t + -0.08t = 0.00 0.02 + 0.00 = -0.08 + 0.08t + -0.08t 0.02 = -0.08 + 0.08t + -0.08t Combine like terms: 0.08t + -0.08t = 0.00 0.02 = -0.08 + 0.00 0.02 = -0.08 Solving 0.02 = -0.08 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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