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Simplifying 0.04(6t + -8) = 0.24(t + -3) + 0.40 Reorder the terms: 0.04(-8 + 6t) = 0.24(t + -3) + 0.40 (-8 * 0.04 + 6t * 0.04) = 0.24(t + -3) + 0.40 (-0.32 + 0.24t) = 0.24(t + -3) + 0.40 Reorder the terms: -0.32 + 0.24t = 0.24(-3 + t) + 0.40 -0.32 + 0.24t = (-3 * 0.24 + t * 0.24) + 0.40 -0.32 + 0.24t = (-0.72 + 0.24t) + 0.40 Reorder the terms: -0.32 + 0.24t = -0.72 + 0.40 + 0.24t Combine like terms: -0.72 + 0.40 = -0.32 -0.32 + 0.24t = -0.32 + 0.24t Add '0.32' to each side of the equation. -0.32 + 0.32 + 0.24t = -0.32 + 0.32 + 0.24t Combine like terms: -0.32 + 0.32 = 0.00 0.00 + 0.24t = -0.32 + 0.32 + 0.24t 0.24t = -0.32 + 0.32 + 0.24t Combine like terms: -0.32 + 0.32 = 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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