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Simplifying 4(z + 6) = 6 + z Reorder the terms: 4(6 + z) = 6 + z (6 * 4 + z * 4) = 6 + z (24 + 4z) = 6 + z Solving 24 + 4z = 6 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 24 + 4z + -1z = 6 + z + -1z Combine like terms: 4z + -1z = 3z 24 + 3z = 6 + z + -1z Combine like terms: z + -1z = 0 24 + 3z = 6 + 0 24 + 3z = 6 Add '-24' to each side of the equation. 24 + -24 + 3z = 6 + -24 Combine like terms: 24 + -24 = 0 0 + 3z = 6 + -24 3z = 6 + -24 Combine like terms: 6 + -24 = -18 3z = -18 Divide each side by '3'. z = -6 Simplifying z = -6
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