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Simplifying 11z + -5 + -3z = 9z + 7 + 3z Reorder the terms: -5 + 11z + -3z = 9z + 7 + 3z Combine like terms: 11z + -3z = 8z -5 + 8z = 9z + 7 + 3z Reorder the terms: -5 + 8z = 7 + 9z + 3z Combine like terms: 9z + 3z = 12z -5 + 8z = 7 + 12z Solving -5 + 8z = 7 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. -5 + 8z + -12z = 7 + 12z + -12z Combine like terms: 8z + -12z = -4z -5 + -4z = 7 + 12z + -12z Combine like terms: 12z + -12z = 0 -5 + -4z = 7 + 0 -5 + -4z = 7 Add '5' to each side of the equation. -5 + 5 + -4z = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -4z = 7 + 5 -4z = 7 + 5 Combine like terms: 7 + 5 = 12 -4z = 12 Divide each side by '-4'. z = -3 Simplifying z = -3
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