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Simplifying 0.04(2t + 8) = 0.08(t + 3) + 0.08 Reorder the terms: 0.04(8 + 2t) = 0.08(t + 3) + 0.08 (8 * 0.04 + 2t * 0.04) = 0.08(t + 3) + 0.08 (0.32 + 0.08t) = 0.08(t + 3) + 0.08 Reorder the terms: 0.32 + 0.08t = 0.08(3 + t) + 0.08 0.32 + 0.08t = (3 * 0.08 + t * 0.08) + 0.08 0.32 + 0.08t = (0.24 + 0.08t) + 0.08 Reorder the terms: 0.32 + 0.08t = 0.24 + 0.08 + 0.08t Combine like terms: 0.24 + 0.08 = 0.32 0.32 + 0.08t = 0.32 + 0.08t Add '-0.32' to each side of the equation. 0.32 + -0.32 + 0.08t = 0.32 + -0.32 + 0.08t Combine like terms: 0.32 + -0.32 = 0.00 0.00 + 0.08t = 0.32 + -0.32 + 0.08t 0.08t = 0.32 + -0.32 + 0.08t Combine like terms: 0.32 + -0.32 = 0.00 0.08t = 0.00 + 0.08t 0.08t = 0.08t Add '-0.08t' to each side of the equation. 0.08t + -0.08t = 0.08t + -0.08t Combine like terms: 0.08t + -0.08t = 0.00 0.00 = 0.08t + -0.08t Combine like terms: 0.08t + -0.08t = 0.00 0.00 = 0.00 Solving 0.00 = 0.00 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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