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Simplifying 6z + -11 = -32 + 3z Reorder the terms: -11 + 6z = -32 + 3z Solving -11 + 6z = -32 + 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. -11 + 6z + -3z = -32 + 3z + -3z Combine like terms: 6z + -3z = 3z -11 + 3z = -32 + 3z + -3z Combine like terms: 3z + -3z = 0 -11 + 3z = -32 + 0 -11 + 3z = -32 Add '11' to each side of the equation. -11 + 11 + 3z = -32 + 11 Combine like terms: -11 + 11 = 0 0 + 3z = -32 + 11 3z = -32 + 11 Combine like terms: -32 + 11 = -21 3z = -21 Divide each side by '3'. z = -7 Simplifying z = -7
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