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Simplifying -9z + 19z + -12z + -10 = 16 Reorder the terms: -10 + -9z + 19z + -12z = 16 Combine like terms: -9z + 19z = 10z -10 + 10z + -12z = 16 Combine like terms: 10z + -12z = -2z -10 + -2z = 16 Solving -10 + -2z = 16 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -2z = 16 + 10 Combine like terms: -10 + 10 = 0 0 + -2z = 16 + 10 -2z = 16 + 10 Combine like terms: 16 + 10 = 26 -2z = 26 Divide each side by '-2'. z = -13 Simplifying z = -13
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