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Simplifying -6z + 9 = 4(5 + -1z) Reorder the terms: 9 + -6z = 4(5 + -1z) 9 + -6z = (5 * 4 + -1z * 4) 9 + -6z = (20 + -4z) Solving 9 + -6z = 20 + -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. 9 + -6z + 4z = 20 + -4z + 4z Combine like terms: -6z + 4z = -2z 9 + -2z = 20 + -4z + 4z Combine like terms: -4z + 4z = 0 9 + -2z = 20 + 0 9 + -2z = 20 Add '-9' to each side of the equation. 9 + -9 + -2z = 20 + -9 Combine like terms: 9 + -9 = 0 0 + -2z = 20 + -9 -2z = 20 + -9 Combine like terms: 20 + -9 = 11 -2z = 11 Divide each side by '-2'. z = -5.5 Simplifying z = -5.5
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