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Simplifying 0.4(z + 1) + -0.8z = -0.1z + 0.6 + -0.3z + -0.2 Reorder the terms: 0.4(1 + z) + -0.8z = -0.1z + 0.6 + -0.3z + -0.2 (1 * 0.4 + z * 0.4) + -0.8z = -0.1z + 0.6 + -0.3z + -0.2 (0.4 + 0.4z) + -0.8z = -0.1z + 0.6 + -0.3z + -0.2 Combine like terms: 0.4z + -0.8z = -0.4z 0.4 + -0.4z = -0.1z + 0.6 + -0.3z + -0.2 Reorder the terms: 0.4 + -0.4z = 0.6 + -0.2 + -0.1z + -0.3z Combine like terms: 0.6 + -0.2 = 0.4 0.4 + -0.4z = 0.4 + -0.1z + -0.3z Combine like terms: -0.1z + -0.3z = -0.4z 0.4 + -0.4z = 0.4 + -0.4z Add '-0.4' to each side of the equation. 0.4 + -0.4 + -0.4z = 0.4 + -0.4 + -0.4z Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -0.4z = 0.4 + -0.4 + -0.4z -0.4z = 0.4 + -0.4 + -0.4z Combine like terms: 0.4 + -0.4 = 0.0 -0.4z = 0.0 + -0.4z -0.4z = -0.4z Add '0.4z' to each side of the equation. -0.4z + 0.4z = -0.4z + 0.4z Combine like terms: -0.4z + 0.4z = 0.0 0.0 = -0.4z + 0.4z Combine like terms: -0.4z + 0.4z = 0.0 0.0 = 0.0 Solving 0.0 = 0.0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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