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Simplifying (3 + -1z) * 7 = 42 Reorder the terms for easier multiplication: 7(3 + -1z) = 42 (3 * 7 + -1z * 7) = 42 (21 + -7z) = 42 Solving 21 + -7z = 42 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 + -7z = 42 + -21 Combine like terms: 21 + -21 = 0 0 + -7z = 42 + -21 -7z = 42 + -21 Combine like terms: 42 + -21 = 21 -7z = 21 Divide each side by '-7'. z = -3 Simplifying z = -3
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