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Simplifying 4(z + -6) = 9(z + 4) Reorder the terms: 4(-6 + z) = 9(z + 4) (-6 * 4 + z * 4) = 9(z + 4) (-24 + 4z) = 9(z + 4) Reorder the terms: -24 + 4z = 9(4 + z) -24 + 4z = (4 * 9 + z * 9) -24 + 4z = (36 + 9z) Solving -24 + 4z = 36 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -24 + 4z + -9z = 36 + 9z + -9z Combine like terms: 4z + -9z = -5z -24 + -5z = 36 + 9z + -9z Combine like terms: 9z + -9z = 0 -24 + -5z = 36 + 0 -24 + -5z = 36 Add '24' to each side of the equation. -24 + 24 + -5z = 36 + 24 Combine like terms: -24 + 24 = 0 0 + -5z = 36 + 24 -5z = 36 + 24 Combine like terms: 36 + 24 = 60 -5z = 60 Divide each side by '-5'. z = -12 Simplifying z = -12
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