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Simplifying -2z + z = 5z + -7 + -2z Combine like terms: -2z + z = -1z -1z = 5z + -7 + -2z Reorder the terms: -1z = -7 + 5z + -2z Combine like terms: 5z + -2z = 3z -1z = -7 + 3z Solving -1z = -7 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -1z + -3z = -7 + 3z + -3z Combine like terms: -1z + -3z = -4z -4z = -7 + 3z + -3z Combine like terms: 3z + -3z = 0 -4z = -7 + 0 -4z = -7 Divide each side by '-4'. z = 1.75 Simplifying z = 1.75
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