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Simplifying 6 + -2z = 18 + -3z Solving 6 + -2z = 18 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 6 + -2z + 3z = 18 + -3z + 3z Combine like terms: -2z + 3z = 1z 6 + 1z = 18 + -3z + 3z Combine like terms: -3z + 3z = 0 6 + 1z = 18 + 0 6 + 1z = 18 Add '-6' to each side of the equation. 6 + -6 + 1z = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 1z = 18 + -6 1z = 18 + -6 Combine like terms: 18 + -6 = 12 1z = 12 Divide each side by '1'. z = 12 Simplifying z = 12
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