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Simplifying 0.02(2t + 6) = 0.04(t + 5) + -0.08 Reorder the terms: 0.02(6 + 2t) = 0.04(t + 5) + -0.08 (6 * 0.02 + 2t * 0.02) = 0.04(t + 5) + -0.08 (0.12 + 0.04t) = 0.04(t + 5) + -0.08 Reorder the terms: 0.12 + 0.04t = 0.04(5 + t) + -0.08 0.12 + 0.04t = (5 * 0.04 + t * 0.04) + -0.08 0.12 + 0.04t = (0.2 + 0.04t) + -0.08 Reorder the terms: 0.12 + 0.04t = 0.2 + -0.08 + 0.04t Combine like terms: 0.2 + -0.08 = 0.12 0.12 + 0.04t = 0.12 + 0.04t Add '-0.12' to each side of the equation. 0.12 + -0.12 + 0.04t = 0.12 + -0.12 + 0.04t Combine like terms: 0.12 + -0.12 = 0.00 0.00 + 0.04t = 0.12 + -0.12 + 0.04t 0.04t = 0.12 + -0.12 + 0.04t Combine like terms: 0.12 + -0.12 = 0.00 0.04t = 0.00 + 0.04t 0.04t = 0.04t Add '-0.04t' to each side of the equation. 0.04t + -0.04t = 0.04t + -0.04t Combine like terms: 0.04t + -0.04t = 0.00 0.00 = 0.04t + -0.04t Combine like terms: 0.04t + -0.04t = 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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