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Simplifying 7(3 + -2z) + 9z = 6 (3 * 7 + -2z * 7) + 9z = 6 (21 + -14z) + 9z = 6 Combine like terms: -14z + 9z = -5z 21 + -5z = 6 Solving 21 + -5z = 6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -5z = 6 + -21 Combine like terms: 21 + -21 = 0 0 + -5z = 6 + -21 -5z = 6 + -21 Combine like terms: 6 + -21 = -15 -5z = -15 Divide each side by '-5'. z = 3 Simplifying z = 3
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