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Simplifying -2z + -4z = 2z + 7 + -4z Combine like terms: -2z + -4z = -6z -6z = 2z + 7 + -4z Reorder the terms: -6z = 7 + 2z + -4z Combine like terms: 2z + -4z = -2z -6z = 7 + -2z Solving -6z = 7 + -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. -6z + 2z = 7 + -2z + 2z Combine like terms: -6z + 2z = -4z -4z = 7 + -2z + 2z Combine like terms: -2z + 2z = 0 -4z = 7 + 0 -4z = 7 Divide each side by '-4'. z = -1.75 Simplifying z = -1.75
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