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Simplifying 3z + 32 = 6z + 11 Reorder the terms: 32 + 3z = 6z + 11 Reorder the terms: 32 + 3z = 11 + 6z Solving 32 + 3z = 11 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 32 + 3z + -6z = 11 + 6z + -6z Combine like terms: 3z + -6z = -3z 32 + -3z = 11 + 6z + -6z Combine like terms: 6z + -6z = 0 32 + -3z = 11 + 0 32 + -3z = 11 Add '-32' to each side of the equation. 32 + -32 + -3z = 11 + -32 Combine like terms: 32 + -32 = 0 0 + -3z = 11 + -32 -3z = 11 + -32 Combine like terms: 11 + -32 = -21 -3z = -21 Divide each side by '-3'. z = 7 Simplifying z = 7
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