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Simplifying 4 + 12z + -2 = 8z + 65 + -5z Reorder the terms: 4 + -2 + 12z = 8z + 65 + -5z Combine like terms: 4 + -2 = 2 2 + 12z = 8z + 65 + -5z Reorder the terms: 2 + 12z = 65 + 8z + -5z Combine like terms: 8z + -5z = 3z 2 + 12z = 65 + 3z Solving 2 + 12z = 65 + 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. 2 + 12z + -3z = 65 + 3z + -3z Combine like terms: 12z + -3z = 9z 2 + 9z = 65 + 3z + -3z Combine like terms: 3z + -3z = 0 2 + 9z = 65 + 0 2 + 9z = 65 Add '-2' to each side of the equation. 2 + -2 + 9z = 65 + -2 Combine like terms: 2 + -2 = 0 0 + 9z = 65 + -2 9z = 65 + -2 Combine like terms: 65 + -2 = 63 9z = 63 Divide each side by '9'. z = 7 Simplifying z = 7
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