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Simplifying 0.04(5t + -2) = 0.20(t + 5) + -1.08 Reorder the terms: 0.04(-2 + 5t) = 0.20(t + 5) + -1.08 (-2 * 0.04 + 5t * 0.04) = 0.20(t + 5) + -1.08 (-0.08 + 0.2t) = 0.20(t + 5) + -1.08 Reorder the terms: -0.08 + 0.2t = 0.20(5 + t) + -1.08 -0.08 + 0.2t = (5 * 0.20 + t * 0.20) + -1.08 -0.08 + 0.2t = (1 + 0.20t) + -1.08 Reorder the terms: -0.08 + 0.2t = 1 + -1.08 + 0.20t Combine like terms: 1 + -1.08 = -0.08 -0.08 + 0.2t = -0.08 + 0.20t Add '0.08' to each side of the equation. -0.08 + 0.08 + 0.2t = -0.08 + 0.08 + 0.20t Combine like terms: -0.08 + 0.08 = 0.00 0.00 + 0.2t = -0.08 + 0.08 + 0.20t 0.2t = -0.08 + 0.08 + 0.20t Combine like terms: -0.08 + 0.08 = 0.00 0.2t = 0.00 + 0.20t 0.2t = 0.20t Add '-0.2t' to each side of the equation. 0.2t + -0.2t = 0.20t + -0.2t Combine like terms: 0.2t + -0.2t = 0.0 0.0 = 0.20t + -0.2t Combine like terms: 0.20t + -0.2t = 0.00 0.0 = 0.00 Solving 0.0 = 0.00 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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