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Simplifying 12z + 36 = 8z + -6 Reorder the terms: 36 + 12z = 8z + -6 Reorder the terms: 36 + 12z = -6 + 8z Solving 36 + 12z = -6 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 36 + 12z + -8z = -6 + 8z + -8z Combine like terms: 12z + -8z = 4z 36 + 4z = -6 + 8z + -8z Combine like terms: 8z + -8z = 0 36 + 4z = -6 + 0 36 + 4z = -6 Add '-36' to each side of the equation. 36 + -36 + 4z = -6 + -36 Combine like terms: 36 + -36 = 0 0 + 4z = -6 + -36 4z = -6 + -36 Combine like terms: -6 + -36 = -42 4z = -42 Divide each side by '4'. z = -10.5 Simplifying z = -10.5
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