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Simplifying 4z + -12 = 6 + 7z Reorder the terms: -12 + 4z = 6 + 7z Solving -12 + 4z = 6 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -12 + 4z + -7z = 6 + 7z + -7z Combine like terms: 4z + -7z = -3z -12 + -3z = 6 + 7z + -7z Combine like terms: 7z + -7z = 0 -12 + -3z = 6 + 0 -12 + -3z = 6 Add '12' to each side of the equation. -12 + 12 + -3z = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -3z = 6 + 12 -3z = 6 + 12 Combine like terms: 6 + 12 = 18 -3z = 18 Divide each side by '-3'. z = -6 Simplifying z = -6
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