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Simplifying 18z + 2(-7z + -4) = 30 + -6 Reorder the terms: 18z + 2(-4 + -7z) = 30 + -6 18z + (-4 * 2 + -7z * 2) = 30 + -6 18z + (-8 + -14z) = 30 + -6 Reorder the terms: -8 + 18z + -14z = 30 + -6 Combine like terms: 18z + -14z = 4z -8 + 4z = 30 + -6 Combine like terms: 30 + -6 = 24 -8 + 4z = 24 Solving -8 + 4z = 24 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 4z = 24 + 8 Combine like terms: -8 + 8 = 0 0 + 4z = 24 + 8 4z = 24 + 8 Combine like terms: 24 + 8 = 32 4z = 32 Divide each side by '4'. z = 8 Simplifying z = 8
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