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Simplifying 6z + -2 = -23 + 3z Reorder the terms: -2 + 6z = -23 + 3z Solving -2 + 6z = -23 + 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. -2 + 6z + -3z = -23 + 3z + -3z Combine like terms: 6z + -3z = 3z -2 + 3z = -23 + 3z + -3z Combine like terms: 3z + -3z = 0 -2 + 3z = -23 + 0 -2 + 3z = -23 Add '2' to each side of the equation. -2 + 2 + 3z = -23 + 2 Combine like terms: -2 + 2 = 0 0 + 3z = -23 + 2 3z = -23 + 2 Combine like terms: -23 + 2 = -21 3z = -21 Divide each side by '3'. z = -7 Simplifying z = -7
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