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Simplifying 0.25 * 8z + -0.25 * -4 = z + 8 + -2z Multiply 0.25 * 8 2z + -0.25 * -4 = z + 8 + -2z Multiply -0.25 * -4 2z + 1 = z + 8 + -2z Reorder the terms: 1 + 2z = z + 8 + -2z Reorder the terms: 1 + 2z = 8 + z + -2z Combine like terms: z + -2z = -1z 1 + 2z = 8 + -1z Solving 1 + 2z = 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 + 2z + z = 8 + -1z + z Combine like terms: 2z + z = 3z 1 + 3z = 8 + -1z + z Combine like terms: -1z + z = 0 1 + 3z = 8 + 0 1 + 3z = 8 Add '-1' to each side of the equation. 1 + -1 + 3z = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 3z = 8 + -1 3z = 8 + -1 Combine like terms: 8 + -1 = 7 3z = 7 Divide each side by '3'. z = 2.333333333 Simplifying z = 2.333333333
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