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Simplifying 12 + 5z = 6(z + 2) Reorder the terms: 12 + 5z = 6(2 + z) 12 + 5z = (2 * 6 + z * 6) 12 + 5z = (12 + 6z) Add '-12' to each side of the equation. 12 + -12 + 5z = 12 + -12 + 6z Combine like terms: 12 + -12 = 0 0 + 5z = 12 + -12 + 6z 5z = 12 + -12 + 6z Combine like terms: 12 + -12 = 0 5z = 0 + 6z 5z = 6z Solving 5z = 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 5z + -6z = 6z + -6z Combine like terms: 5z + -6z = -1z -1z = 6z + -6z Combine like terms: 6z + -6z = 0 -1z = 0 Divide each side by '-1'. z = 0 Simplifying z = 0
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