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Simplifying 6z + 2 + -3z = 10 + 2z + 10 Reorder the terms: 2 + 6z + -3z = 10 + 2z + 10 Combine like terms: 6z + -3z = 3z 2 + 3z = 10 + 2z + 10 Reorder the terms: 2 + 3z = 10 + 10 + 2z Combine like terms: 10 + 10 = 20 2 + 3z = 20 + 2z Solving 2 + 3z = 20 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 2 + 3z + -2z = 20 + 2z + -2z Combine like terms: 3z + -2z = 1z 2 + 1z = 20 + 2z + -2z Combine like terms: 2z + -2z = 0 2 + 1z = 20 + 0 2 + 1z = 20 Add '-2' to each side of the equation. 2 + -2 + 1z = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 1z = 20 + -2 1z = 20 + -2 Combine like terms: 20 + -2 = 18 1z = 18 Divide each side by '1'. z = 18 Simplifying z = 18
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