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Simplifying 0.05(3t + 8) = 0.15(t + 5) + -0.35 Reorder the terms: 0.05(8 + 3t) = 0.15(t + 5) + -0.35 (8 * 0.05 + 3t * 0.05) = 0.15(t + 5) + -0.35 (0.4 + 0.15t) = 0.15(t + 5) + -0.35 Reorder the terms: 0.4 + 0.15t = 0.15(5 + t) + -0.35 0.4 + 0.15t = (5 * 0.15 + t * 0.15) + -0.35 0.4 + 0.15t = (0.75 + 0.15t) + -0.35 Reorder the terms: 0.4 + 0.15t = 0.75 + -0.35 + 0.15t Combine like terms: 0.75 + -0.35 = 0.4 0.4 + 0.15t = 0.4 + 0.15t Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.15t = 0.4 + -0.4 + 0.15t Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.15t = 0.4 + -0.4 + 0.15t 0.15t = 0.4 + -0.4 + 0.15t Combine like terms: 0.4 + -0.4 = 0.0 0.15t = 0.0 + 0.15t 0.15t = 0.15t Add '-0.15t' to each side of the equation. 0.15t + -0.15t = 0.15t + -0.15t Combine like terms: 0.15t + -0.15t = 0.00 0.00 = 0.15t + -0.15t Combine like terms: 0.15t + -0.15t = 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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