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Simplifying 5(z + 6) = 6 + z Reorder the terms: 5(6 + z) = 6 + z (6 * 5 + z * 5) = 6 + z (30 + 5z) = 6 + z Solving 30 + 5z = 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. 30 + 5z + -1z = 6 + z + -1z Combine like terms: 5z + -1z = 4z 30 + 4z = 6 + z + -1z Combine like terms: z + -1z = 0 30 + 4z = 6 + 0 30 + 4z = 6 Add '-30' to each side of the equation. 30 + -30 + 4z = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 4z = 6 + -30 4z = 6 + -30 Combine like terms: 6 + -30 = -24 4z = -24 Divide each side by '4'. z = -6 Simplifying z = -6
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