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Simplifying 24 + 6z = -9(4z + 8) Reorder the terms: 24 + 6z = -9(8 + 4z) 24 + 6z = (8 * -9 + 4z * -9) 24 + 6z = (-72 + -36z) Solving 24 + 6z = -72 + -36z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '36z' to each side of the equation. 24 + 6z + 36z = -72 + -36z + 36z Combine like terms: 6z + 36z = 42z 24 + 42z = -72 + -36z + 36z Combine like terms: -36z + 36z = 0 24 + 42z = -72 + 0 24 + 42z = -72 Add '-24' to each side of the equation. 24 + -24 + 42z = -72 + -24 Combine like terms: 24 + -24 = 0 0 + 42z = -72 + -24 42z = -72 + -24 Combine like terms: -72 + -24 = -96 42z = -96 Divide each side by '42'. z = -2.285714286 Simplifying z = -2.285714286
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