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Simplifying 5z + -5 + -7z + 7 = 5z + 18 + -3z Reorder the terms: -5 + 7 + 5z + -7z = 5z + 18 + -3z Combine like terms: -5 + 7 = 2 2 + 5z + -7z = 5z + 18 + -3z Combine like terms: 5z + -7z = -2z 2 + -2z = 5z + 18 + -3z Reorder the terms: 2 + -2z = 18 + 5z + -3z Combine like terms: 5z + -3z = 2z 2 + -2z = 18 + 2z Solving 2 + -2z = 18 + 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 + -2z + -2z = 18 + 2z + -2z Combine like terms: -2z + -2z = -4z 2 + -4z = 18 + 2z + -2z Combine like terms: 2z + -2z = 0 2 + -4z = 18 + 0 2 + -4z = 18 Add '-2' to each side of the equation. 2 + -2 + -4z = 18 + -2 Combine like terms: 2 + -2 = 0 0 + -4z = 18 + -2 -4z = 18 + -2 Combine like terms: 18 + -2 = 16 -4z = 16 Divide each side by '-4'. z = -4 Simplifying z = -4
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