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Simplifying 0.25(8z + -4) = z + 8 Reorder the terms: 0.25(-4 + 8z) = z + 8 (-4 * 0.25 + 8z * 0.25) = z + 8 (-1 + 2z) = z + 8 Reorder the terms: -1 + 2z = 8 + z Solving -1 + 2z = 8 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -1 + 2z + -1z = 8 + z + -1z Combine like terms: 2z + -1z = 1z -1 + 1z = 8 + z + -1z Combine like terms: z + -1z = 0 -1 + 1z = 8 + 0 -1 + 1z = 8 Add '1' to each side of the equation. -1 + 1 + 1z = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 1z = 8 + 1 1z = 8 + 1 Combine like terms: 8 + 1 = 9 1z = 9 Divide each side by '1'. z = 9 Simplifying z = 9
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