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Simplifying 0.02(6t + 7) = 0.12(t + 1) + 0.02 Reorder the terms: 0.02(7 + 6t) = 0.12(t + 1) + 0.02 (7 * 0.02 + 6t * 0.02) = 0.12(t + 1) + 0.02 (0.14 + 0.12t) = 0.12(t + 1) + 0.02 Reorder the terms: 0.14 + 0.12t = 0.12(1 + t) + 0.02 0.14 + 0.12t = (1 * 0.12 + t * 0.12) + 0.02 0.14 + 0.12t = (0.12 + 0.12t) + 0.02 Reorder the terms: 0.14 + 0.12t = 0.12 + 0.02 + 0.12t Combine like terms: 0.12 + 0.02 = 0.14 0.14 + 0.12t = 0.14 + 0.12t Add '-0.14' to each side of the equation. 0.14 + -0.14 + 0.12t = 0.14 + -0.14 + 0.12t Combine like terms: 0.14 + -0.14 = 0.00 0.00 + 0.12t = 0.14 + -0.14 + 0.12t 0.12t = 0.14 + -0.14 + 0.12t Combine like terms: 0.14 + -0.14 = 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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