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Simplifying 0.25(8z + -4) = z + x + -2z Reorder the terms: 0.25(-4 + 8z) = z + x + -2z (-4 * 0.25 + 8z * 0.25) = z + x + -2z (-1 + 2z) = z + x + -2z Reorder the terms: -1 + 2z = x + z + -2z Combine like terms: z + -2z = -1z -1 + 2z = x + -1z Solving -1 + 2z = x + -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 + 2z + z = x + -1z + z Combine like terms: 2z + z = 3z -1 + 3z = x + -1z + z Combine like terms: -1z + z = 0 -1 + 3z = x + 0 -1 + 3z = x Add '1' to each side of the equation. -1 + 1 + 3z = 1 + x Combine like terms: -1 + 1 = 0 0 + 3z = 1 + x 3z = 1 + x Divide each side by '3'. z = 0.3333333333 + 0.3333333333x Simplifying z = 0.3333333333 + 0.3333333333x
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