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Simplifying -4z + 4 = -6 + -2z Reorder the terms: 4 + -4z = -6 + -2z Solving 4 + -4z = -6 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 4 + -4z + 2z = -6 + -2z + 2z Combine like terms: -4z + 2z = -2z 4 + -2z = -6 + -2z + 2z Combine like terms: -2z + 2z = 0 4 + -2z = -6 + 0 4 + -2z = -6 Add '-4' to each side of the equation. 4 + -4 + -2z = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -2z = -6 + -4 -2z = -6 + -4 Combine like terms: -6 + -4 = -10 -2z = -10 Divide each side by '-2'. z = 5 Simplifying z = 5
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