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Simplifying 0.25(8z + -4) = -1z + -1 + 3z Reorder the terms: 0.25(-4 + 8z) = -1z + -1 + 3z (-4 * 0.25 + 8z * 0.25) = -1z + -1 + 3z (-1 + 2z) = -1z + -1 + 3z Reorder the terms: -1 + 2z = -1 + -1z + 3z Combine like terms: -1z + 3z = 2z -1 + 2z = -1 + 2z Add '1' to each side of the equation. -1 + 1 + 2z = -1 + 1 + 2z Combine like terms: -1 + 1 = 0 0 + 2z = -1 + 1 + 2z 2z = -1 + 1 + 2z Combine like terms: -1 + 1 = 0 2z = 0 + 2z 2z = 2z Add '-2z' to each side of the equation. 2z + -2z = 2z + -2z Combine like terms: 2z + -2z = 0 0 = 2z + -2z Combine like terms: 2z + -2z = 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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