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Simplifying 9z + 25 + 23 + 6z = 4(z + 9) Reorder the terms: 25 + 23 + 9z + 6z = 4(z + 9) Combine like terms: 25 + 23 = 48 48 + 9z + 6z = 4(z + 9) Combine like terms: 9z + 6z = 15z 48 + 15z = 4(z + 9) Reorder the terms: 48 + 15z = 4(9 + z) 48 + 15z = (9 * 4 + z * 4) 48 + 15z = (36 + 4z) Solving 48 + 15z = 36 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 48 + 15z + -4z = 36 + 4z + -4z Combine like terms: 15z + -4z = 11z 48 + 11z = 36 + 4z + -4z Combine like terms: 4z + -4z = 0 48 + 11z = 36 + 0 48 + 11z = 36 Add '-48' to each side of the equation. 48 + -48 + 11z = 36 + -48 Combine like terms: 48 + -48 = 0 0 + 11z = 36 + -48 11z = 36 + -48 Combine like terms: 36 + -48 = -12 11z = -12 Divide each side by '11'. z = -1.090909091 Simplifying z = -1.090909091
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