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Simplifying 6(3 + -2z) = 42 (3 * 6 + -2z * 6) = 42 (18 + -12z) = 42 Solving 18 + -12z = 42 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -12z = 42 + -18 Combine like terms: 18 + -18 = 0 0 + -12z = 42 + -18 -12z = 42 + -18 Combine like terms: 42 + -18 = 24 -12z = 24 Divide each side by '-12'. z = -2 Simplifying z = -2
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