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Simplifying 8 + 11z + -1 = 9z + 63 + -6z Reorder the terms: 8 + -1 + 11z = 9z + 63 + -6z Combine like terms: 8 + -1 = 7 7 + 11z = 9z + 63 + -6z Reorder the terms: 7 + 11z = 63 + 9z + -6z Combine like terms: 9z + -6z = 3z 7 + 11z = 63 + 3z Solving 7 + 11z = 63 + 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. 7 + 11z + -3z = 63 + 3z + -3z Combine like terms: 11z + -3z = 8z 7 + 8z = 63 + 3z + -3z Combine like terms: 3z + -3z = 0 7 + 8z = 63 + 0 7 + 8z = 63 Add '-7' to each side of the equation. 7 + -7 + 8z = 63 + -7 Combine like terms: 7 + -7 = 0 0 + 8z = 63 + -7 8z = 63 + -7 Combine like terms: 63 + -7 = 56 8z = 56 Divide each side by '8'. z = 7 Simplifying z = 7
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