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Simplifying 0.15(3n + 2) + 0.05 = 0.5(0.9n + 0.7) Reorder the terms: 0.15(2 + 3n) + 0.05 = 0.5(0.9n + 0.7) (2 * 0.15 + 3n * 0.15) + 0.05 = 0.5(0.9n + 0.7) (0.3 + 0.45n) + 0.05 = 0.5(0.9n + 0.7) Reorder the terms: 0.3 + 0.05 + 0.45n = 0.5(0.9n + 0.7) Combine like terms: 0.3 + 0.05 = 0.35 0.35 + 0.45n = 0.5(0.9n + 0.7) Reorder the terms: 0.35 + 0.45n = 0.5(0.7 + 0.9n) 0.35 + 0.45n = (0.7 * 0.5 + 0.9n * 0.5) 0.35 + 0.45n = (0.35 + 0.45n) Add '-0.35' to each side of the equation. 0.35 + -0.35 + 0.45n = 0.35 + -0.35 + 0.45n Combine like terms: 0.35 + -0.35 = 0.00 0.00 + 0.45n = 0.35 + -0.35 + 0.45n 0.45n = 0.35 + -0.35 + 0.45n Combine like terms: 0.35 + -0.35 = 0.00 0.45n = 0.00 + 0.45n 0.45n = 0.45n Add '-0.45n' to each side of the equation. 0.45n + -0.45n = 0.45n + -0.45n Combine like terms: 0.45n + -0.45n = 0.00 0.00 = 0.45n + -0.45n Combine like terms: 0.45n + -0.45n = 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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