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Simplifying 0.03(4t + 5) = 0.12(t + 2) + -0.09 Reorder the terms: 0.03(5 + 4t) = 0.12(t + 2) + -0.09 (5 * 0.03 + 4t * 0.03) = 0.12(t + 2) + -0.09 (0.15 + 0.12t) = 0.12(t + 2) + -0.09 Reorder the terms: 0.15 + 0.12t = 0.12(2 + t) + -0.09 0.15 + 0.12t = (2 * 0.12 + t * 0.12) + -0.09 0.15 + 0.12t = (0.24 + 0.12t) + -0.09 Reorder the terms: 0.15 + 0.12t = 0.24 + -0.09 + 0.12t Combine like terms: 0.24 + -0.09 = 0.15 0.15 + 0.12t = 0.15 + 0.12t Add '-0.15' to each side of the equation. 0.15 + -0.15 + 0.12t = 0.15 + -0.15 + 0.12t Combine like terms: 0.15 + -0.15 = 0.00 0.00 + 0.12t = 0.15 + -0.15 + 0.12t 0.12t = 0.15 + -0.15 + 0.12t Combine like terms: 0.15 + -0.15 = 0.00 0.12t = 0.00 + 0.12t 0.12t = 0.12t Add '-0.12t' to each side of the equation. 0.12t + -0.12t = 0.12t + -0.12t Combine like terms: 0.12t + -0.12t = 0.00 0.00 = 0.12t + -0.12t Combine like terms: 0.12t + -0.12t = 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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