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Simplifying -2z + -2 + -4z = -3 + -2z Reorder the terms: -2 + -2z + -4z = -3 + -2z Combine like terms: -2z + -4z = -6z -2 + -6z = -3 + -2z Solving -2 + -6z = -3 + -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. -2 + -6z + 2z = -3 + -2z + 2z Combine like terms: -6z + 2z = -4z -2 + -4z = -3 + -2z + 2z Combine like terms: -2z + 2z = 0 -2 + -4z = -3 + 0 -2 + -4z = -3 Add '2' to each side of the equation. -2 + 2 + -4z = -3 + 2 Combine like terms: -2 + 2 = 0 0 + -4z = -3 + 2 -4z = -3 + 2 Combine like terms: -3 + 2 = -1 -4z = -1 Divide each side by '-4'. z = 0.25 Simplifying z = 0.25
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