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Simplifying -7z + 7 + 5z = -3z + 12 Reorder the terms: 7 + -7z + 5z = -3z + 12 Combine like terms: -7z + 5z = -2z 7 + -2z = -3z + 12 Reorder the terms: 7 + -2z = 12 + -3z Solving 7 + -2z = 12 + -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. 7 + -2z + 3z = 12 + -3z + 3z Combine like terms: -2z + 3z = 1z 7 + 1z = 12 + -3z + 3z Combine like terms: -3z + 3z = 0 7 + 1z = 12 + 0 7 + 1z = 12 Add '-7' to each side of the equation. 7 + -7 + 1z = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 1z = 12 + -7 1z = 12 + -7 Combine like terms: 12 + -7 = 5 1z = 5 Divide each side by '1'. z = 5 Simplifying z = 5
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