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Simplifying 5z + 3 = 66 + -4z Reorder the terms: 3 + 5z = 66 + -4z Solving 3 + 5z = 66 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 3 + 5z + 4z = 66 + -4z + 4z Combine like terms: 5z + 4z = 9z 3 + 9z = 66 + -4z + 4z Combine like terms: -4z + 4z = 0 3 + 9z = 66 + 0 3 + 9z = 66 Add '-3' to each side of the equation. 3 + -3 + 9z = 66 + -3 Combine like terms: 3 + -3 = 0 0 + 9z = 66 + -3 9z = 66 + -3 Combine like terms: 66 + -3 = 63 9z = 63 Divide each side by '9'. z = 7 Simplifying z = 7
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