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Simplifying -9 + 10z = 12z + 19 Reorder the terms: -9 + 10z = 19 + 12z Solving -9 + 10z = 19 + 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. -9 + 10z + -12z = 19 + 12z + -12z Combine like terms: 10z + -12z = -2z -9 + -2z = 19 + 12z + -12z Combine like terms: 12z + -12z = 0 -9 + -2z = 19 + 0 -9 + -2z = 19 Add '9' to each side of the equation. -9 + 9 + -2z = 19 + 9 Combine like terms: -9 + 9 = 0 0 + -2z = 19 + 9 -2z = 19 + 9 Combine like terms: 19 + 9 = 28 -2z = 28 Divide each side by '-2'. z = -14 Simplifying z = -14
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