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Simplifying -11z + 19z + 6 = 7z + 4 Reorder the terms: 6 + -11z + 19z = 7z + 4 Combine like terms: -11z + 19z = 8z 6 + 8z = 7z + 4 Reorder the terms: 6 + 8z = 4 + 7z Solving 6 + 8z = 4 + 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. 6 + 8z + -7z = 4 + 7z + -7z Combine like terms: 8z + -7z = 1z 6 + 1z = 4 + 7z + -7z Combine like terms: 7z + -7z = 0 6 + 1z = 4 + 0 6 + 1z = 4 Add '-6' to each side of the equation. 6 + -6 + 1z = 4 + -6 Combine like terms: 6 + -6 = 0 0 + 1z = 4 + -6 1z = 4 + -6 Combine like terms: 4 + -6 = -2 1z = -2 Divide each side by '1'. z = -2 Simplifying z = -2
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