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Simplifying 0.5(10z + 20) + -5 = 0.1(50z + 50) Reorder the terms: 0.5(20 + 10z) + -5 = 0.1(50z + 50) (20 * 0.5 + 10z * 0.5) + -5 = 0.1(50z + 50) (10 + 5z) + -5 = 0.1(50z + 50) Reorder the terms: 10 + -5 + 5z = 0.1(50z + 50) Combine like terms: 10 + -5 = 5 5 + 5z = 0.1(50z + 50) Reorder the terms: 5 + 5z = 0.1(50 + 50z) 5 + 5z = (50 * 0.1 + 50z * 0.1) 5 + 5z = (5 + 5z) Add '-5' to each side of the equation. 5 + -5 + 5z = 5 + -5 + 5z Combine like terms: 5 + -5 = 0 0 + 5z = 5 + -5 + 5z 5z = 5 + -5 + 5z Combine like terms: 5 + -5 = 0 5z = 0 + 5z 5z = 5z Add '-5z' to each side of the equation. 5z + -5z = 5z + -5z Combine like terms: 5z + -5z = 0 0 = 5z + -5z Combine like terms: 5z + -5z = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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