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Simplifying 0.25(z + -4) = z + 8 + -2z Reorder the terms: 0.25(-4 + z) = z + 8 + -2z (-4 * 0.25 + z * 0.25) = z + 8 + -2z (-1 + 0.25z) = z + 8 + -2z Reorder the terms: -1 + 0.25z = 8 + z + -2z Combine like terms: z + -2z = -1z -1 + 0.25z = 8 + -1z Solving -1 + 0.25z = 8 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -1 + 0.25z + z = 8 + -1z + z Combine like terms: 0.25z + z = 1.25z -1 + 1.25z = 8 + -1z + z Combine like terms: -1z + z = 0 -1 + 1.25z = 8 + 0 -1 + 1.25z = 8 Add '1' to each side of the equation. -1 + 1 + 1.25z = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 1.25z = 8 + 1 1.25z = 8 + 1 Combine like terms: 8 + 1 = 9 1.25z = 9 Divide each side by '1.25'. z = 7.2 Simplifying z = 7.2
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