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Simplifying -3z + 16 = 4z + -12 Reorder the terms: 16 + -3z = 4z + -12 Reorder the terms: 16 + -3z = -12 + 4z Solving 16 + -3z = -12 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 16 + -3z + -4z = -12 + 4z + -4z Combine like terms: -3z + -4z = -7z 16 + -7z = -12 + 4z + -4z Combine like terms: 4z + -4z = 0 16 + -7z = -12 + 0 16 + -7z = -12 Add '-16' to each side of the equation. 16 + -16 + -7z = -12 + -16 Combine like terms: 16 + -16 = 0 0 + -7z = -12 + -16 -7z = -12 + -16 Combine like terms: -12 + -16 = -28 -7z = -28 Divide each side by '-7'. z = 4 Simplifying z = 4
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