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Simplifying 7z + 9(5z + -4) = 68 Reorder the terms: 7z + 9(-4 + 5z) = 68 7z + (-4 * 9 + 5z * 9) = 68 7z + (-36 + 45z) = 68 Reorder the terms: -36 + 7z + 45z = 68 Combine like terms: 7z + 45z = 52z -36 + 52z = 68 Solving -36 + 52z = 68 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 52z = 68 + 36 Combine like terms: -36 + 36 = 0 0 + 52z = 68 + 36 52z = 68 + 36 Combine like terms: 68 + 36 = 104 52z = 104 Divide each side by '52'. z = 2 Simplifying z = 2
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