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Simplifying 0.06(4t + 1) = 0.24(t + 5) + -1.14 Reorder the terms: 0.06(1 + 4t) = 0.24(t + 5) + -1.14 (1 * 0.06 + 4t * 0.06) = 0.24(t + 5) + -1.14 (0.06 + 0.24t) = 0.24(t + 5) + -1.14 Reorder the terms: 0.06 + 0.24t = 0.24(5 + t) + -1.14 0.06 + 0.24t = (5 * 0.24 + t * 0.24) + -1.14 0.06 + 0.24t = (1.2 + 0.24t) + -1.14 Reorder the terms: 0.06 + 0.24t = 1.2 + -1.14 + 0.24t Combine like terms: 1.2 + -1.14 = 0.06 0.06 + 0.24t = 0.06 + 0.24t Add '-0.06' to each side of the equation. 0.06 + -0.06 + 0.24t = 0.06 + -0.06 + 0.24t Combine like terms: 0.06 + -0.06 = 0.00 0.00 + 0.24t = 0.06 + -0.06 + 0.24t 0.24t = 0.06 + -0.06 + 0.24t Combine like terms: 0.06 + -0.06 = 0.00 0.24t = 0.00 + 0.24t 0.24t = 0.24t Add '-0.24t' to each side of the equation. 0.24t + -0.24t = 0.24t + -0.24t Combine like terms: 0.24t + -0.24t = 0.00 0.00 = 0.24t + -0.24t Combine like terms: 0.24t + -0.24t = 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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