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Simplifying 12z + [-14] = 11z + 19 12z + -14 = 11z + 19 Reorder the terms: -14 + 12z = 11z + 19 Reorder the terms: -14 + 12z = 19 + 11z Solving -14 + 12z = 19 + 11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11z' to each side of the equation. -14 + 12z + -11z = 19 + 11z + -11z Combine like terms: 12z + -11z = 1z -14 + 1z = 19 + 11z + -11z Combine like terms: 11z + -11z = 0 -14 + 1z = 19 + 0 -14 + 1z = 19 Add '14' to each side of the equation. -14 + 14 + 1z = 19 + 14 Combine like terms: -14 + 14 = 0 0 + 1z = 19 + 14 1z = 19 + 14 Combine like terms: 19 + 14 = 33 1z = 33 Divide each side by '1'. z = 33 Simplifying z = 33
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