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Simplifying 0.25(8z + -4) = 2 + 8 + -22 Reorder the terms: 0.25(-4 + 8z) = 2 + 8 + -22 (-4 * 0.25 + 8z * 0.25) = 2 + 8 + -22 (-1 + 2z) = 2 + 8 + -22 Combine like terms: 2 + 8 = 10 -1 + 2z = 10 + -22 Combine like terms: 10 + -22 = -12 -1 + 2z = -12 Solving -1 + 2z = -12 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2z = -12 + 1 Combine like terms: -1 + 1 = 0 0 + 2z = -12 + 1 2z = -12 + 1 Combine like terms: -12 + 1 = -11 2z = -11 Divide each side by '2'. z = -5.5 Simplifying z = -5.5
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