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Simplifying -32 + -4 = 6z + -9z + 6 Combine like terms: -32 + -4 = -36 -36 = 6z + -9z + 6 Reorder the terms: -36 = 6 + 6z + -9z Combine like terms: 6z + -9z = -3z -36 = 6 + -3z Solving -36 = 6 + -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. -36 + 3z = 6 + -3z + 3z Combine like terms: -3z + 3z = 0 -36 + 3z = 6 + 0 -36 + 3z = 6 Add '36' to each side of the equation. -36 + 36 + 3z = 6 + 36 Combine like terms: -36 + 36 = 0 0 + 3z = 6 + 36 3z = 6 + 36 Combine like terms: 6 + 36 = 42 3z = 42 Divide each side by '3'. z = 14 Simplifying z = 14
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