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Simplifying 6(z + 4) = 56 + 2z Reorder the terms: 6(4 + z) = 56 + 2z (4 * 6 + z * 6) = 56 + 2z (24 + 6z) = 56 + 2z Solving 24 + 6z = 56 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 24 + 6z + -2z = 56 + 2z + -2z Combine like terms: 6z + -2z = 4z 24 + 4z = 56 + 2z + -2z Combine like terms: 2z + -2z = 0 24 + 4z = 56 + 0 24 + 4z = 56 Add '-24' to each side of the equation. 24 + -24 + 4z = 56 + -24 Combine like terms: 24 + -24 = 0 0 + 4z = 56 + -24 4z = 56 + -24 Combine like terms: 56 + -24 = 32 4z = 32 Divide each side by '4'. z = 8 Simplifying z = 8
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