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Simplifying -7z + 7 + 5 = -3z + 12 Reorder the terms: 7 + 5 + -7z = -3z + 12 Combine like terms: 7 + 5 = 12 12 + -7z = -3z + 12 Reorder the terms: 12 + -7z = 12 + -3z Add '-12' to each side of the equation. 12 + -12 + -7z = 12 + -12 + -3z Combine like terms: 12 + -12 = 0 0 + -7z = 12 + -12 + -3z -7z = 12 + -12 + -3z Combine like terms: 12 + -12 = 0 -7z = 0 + -3z -7z = -3z Solving -7z = -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. -7z + 3z = -3z + 3z Combine like terms: -7z + 3z = -4z -4z = -3z + 3z Combine like terms: -3z + 3z = 0 -4z = 0 Divide each side by '-4'. z = 0 Simplifying z = 0
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