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Simplifying z + 6(z + 4) = 3z + 30 Reorder the terms: z + 6(4 + z) = 3z + 30 z + (4 * 6 + z * 6) = 3z + 30 z + (24 + 6z) = 3z + 30 Reorder the terms: 24 + z + 6z = 3z + 30 Combine like terms: z + 6z = 7z 24 + 7z = 3z + 30 Reorder the terms: 24 + 7z = 30 + 3z Solving 24 + 7z = 30 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 24 + 7z + -3z = 30 + 3z + -3z Combine like terms: 7z + -3z = 4z 24 + 4z = 30 + 3z + -3z Combine like terms: 3z + -3z = 0 24 + 4z = 30 + 0 24 + 4z = 30 Add '-24' to each side of the equation. 24 + -24 + 4z = 30 + -24 Combine like terms: 24 + -24 = 0 0 + 4z = 30 + -24 4z = 30 + -24 Combine like terms: 30 + -24 = 6 4z = 6 Divide each side by '4'. z = 1.5 Simplifying z = 1.5
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