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Simplifying 6z + 2 + -4z = 56 + -4z Reorder the terms: 2 + 6z + -4z = 56 + -4z Combine like terms: 6z + -4z = 2z 2 + 2z = 56 + -4z Solving 2 + 2z = 56 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 2 + 2z + 4z = 56 + -4z + 4z Combine like terms: 2z + 4z = 6z 2 + 6z = 56 + -4z + 4z Combine like terms: -4z + 4z = 0 2 + 6z = 56 + 0 2 + 6z = 56 Add '-2' to each side of the equation. 2 + -2 + 6z = 56 + -2 Combine like terms: 2 + -2 = 0 0 + 6z = 56 + -2 6z = 56 + -2 Combine like terms: 56 + -2 = 54 6z = 54 Divide each side by '6'. z = 9 Simplifying z = 9
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