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Simplifying 3(7 + -1z) + 5z = 3 + -9 (7 * 3 + -1z * 3) + 5z = 3 + -9 (21 + -3z) + 5z = 3 + -9 Combine like terms: -3z + 5z = 2z 21 + 2z = 3 + -9 Combine like terms: 3 + -9 = -6 21 + 2z = -6 Solving 21 + 2z = -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 + 2z = -6 + -21 Combine like terms: 21 + -21 = 0 0 + 2z = -6 + -21 2z = -6 + -21 Combine like terms: -6 + -21 = -27 2z = -27 Divide each side by '2'. z = -13.5 Simplifying z = -13.5
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