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Simplifying 12 + -32z = 16z + 14 Reorder the terms: 12 + -32z = 14 + 16z Solving 12 + -32z = 14 + 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. 12 + -32z + -16z = 14 + 16z + -16z Combine like terms: -32z + -16z = -48z 12 + -48z = 14 + 16z + -16z Combine like terms: 16z + -16z = 0 12 + -48z = 14 + 0 12 + -48z = 14 Add '-12' to each side of the equation. 12 + -12 + -48z = 14 + -12 Combine like terms: 12 + -12 = 0 0 + -48z = 14 + -12 -48z = 14 + -12 Combine like terms: 14 + -12 = 2 -48z = 2 Divide each side by '-48'. z = -0.04166666667 Simplifying z = -0.04166666667
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