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Simplifying 9(z + -6) = 4(z + 4) Reorder the terms: 9(-6 + z) = 4(z + 4) (-6 * 9 + z * 9) = 4(z + 4) (-54 + 9z) = 4(z + 4) Reorder the terms: -54 + 9z = 4(4 + z) -54 + 9z = (4 * 4 + z * 4) -54 + 9z = (16 + 4z) Solving -54 + 9z = 16 + 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. -54 + 9z + -4z = 16 + 4z + -4z Combine like terms: 9z + -4z = 5z -54 + 5z = 16 + 4z + -4z Combine like terms: 4z + -4z = 0 -54 + 5z = 16 + 0 -54 + 5z = 16 Add '54' to each side of the equation. -54 + 54 + 5z = 16 + 54 Combine like terms: -54 + 54 = 0 0 + 5z = 16 + 54 5z = 16 + 54 Combine like terms: 16 + 54 = 70 5z = 70 Divide each side by '5'. z = 14 Simplifying z = 14
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