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Simplifying -6z + 19 = 2z + 11 Reorder the terms: 19 + -6z = 2z + 11 Reorder the terms: 19 + -6z = 11 + 2z Solving 19 + -6z = 11 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 19 + -6z + -2z = 11 + 2z + -2z Combine like terms: -6z + -2z = -8z 19 + -8z = 11 + 2z + -2z Combine like terms: 2z + -2z = 0 19 + -8z = 11 + 0 19 + -8z = 11 Add '-19' to each side of the equation. 19 + -19 + -8z = 11 + -19 Combine like terms: 19 + -19 = 0 0 + -8z = 11 + -19 -8z = 11 + -19 Combine like terms: 11 + -19 = -8 -8z = -8 Divide each side by '-8'. z = 1 Simplifying z = 1
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