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Simplifying 4z + 26 = 12z + -6 Reorder the terms: 26 + 4z = 12z + -6 Reorder the terms: 26 + 4z = -6 + 12z Solving 26 + 4z = -6 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 26 + 4z + -12z = -6 + 12z + -12z Combine like terms: 4z + -12z = -8z 26 + -8z = -6 + 12z + -12z Combine like terms: 12z + -12z = 0 26 + -8z = -6 + 0 26 + -8z = -6 Add '-26' to each side of the equation. 26 + -26 + -8z = -6 + -26 Combine like terms: 26 + -26 = 0 0 + -8z = -6 + -26 -8z = -6 + -26 Combine like terms: -6 + -26 = -32 -8z = -32 Divide each side by '-8'. z = 4 Simplifying z = 4
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