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Simplifying 4z + -6(3z + 5) = 96 Reorder the terms: 4z + -6(5 + 3z) = 96 4z + (5 * -6 + 3z * -6) = 96 4z + (-30 + -18z) = 96 Reorder the terms: -30 + 4z + -18z = 96 Combine like terms: 4z + -18z = -14z -30 + -14z = 96 Solving -30 + -14z = 96 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -14z = 96 + 30 Combine like terms: -30 + 30 = 0 0 + -14z = 96 + 30 -14z = 96 + 30 Combine like terms: 96 + 30 = 126 -14z = 126 Divide each side by '-14'. z = -9 Simplifying z = -9
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