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Simplifying 40z + 1 = 48z + 3 Reorder the terms: 1 + 40z = 48z + 3 Reorder the terms: 1 + 40z = 3 + 48z Solving 1 + 40z = 3 + 48z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-48z' to each side of the equation. 1 + 40z + -48z = 3 + 48z + -48z Combine like terms: 40z + -48z = -8z 1 + -8z = 3 + 48z + -48z Combine like terms: 48z + -48z = 0 1 + -8z = 3 + 0 1 + -8z = 3 Add '-1' to each side of the equation. 1 + -1 + -8z = 3 + -1 Combine like terms: 1 + -1 = 0 0 + -8z = 3 + -1 -8z = 3 + -1 Combine like terms: 3 + -1 = 2 -8z = 2 Divide each side by '-8'. z = -0.25 Simplifying z = -0.25
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