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Simplifying 65 = 3z + -1 + z + 1 + 11 + 2z + 12 Reorder the terms: 65 = -1 + 1 + 11 + 12 + 3z + z + 2z Combine like terms: -1 + 1 = 0 65 = 0 + 11 + 12 + 3z + z + 2z 65 = 11 + 12 + 3z + z + 2z Combine like terms: 11 + 12 = 23 65 = 23 + 3z + z + 2z Combine like terms: 3z + z = 4z 65 = 23 + 4z + 2z Combine like terms: 4z + 2z = 6z 65 = 23 + 6z Solving 65 = 23 + 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. 65 + -6z = 23 + 6z + -6z Combine like terms: 6z + -6z = 0 65 + -6z = 23 + 0 65 + -6z = 23 Add '-65' to each side of the equation. 65 + -65 + -6z = 23 + -65 Combine like terms: 65 + -65 = 0 0 + -6z = 23 + -65 -6z = 23 + -65 Combine like terms: 23 + -65 = -42 -6z = -42 Divide each side by '-6'. z = 7 Simplifying z = 7
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