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Simplifying (-2z + 6)(4) = 42 Reorder the terms: (6 + -2z)(4) = 42 Reorder the terms for easier multiplication: 4(6 + -2z) = 42 (6 * 4 + -2z * 4) = 42 (24 + -8z) = 42 Solving 24 + -8z = 42 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -8z = 42 + -24 Combine like terms: 24 + -24 = 0 0 + -8z = 42 + -24 -8z = 42 + -24 Combine like terms: 42 + -24 = 18 -8z = 18 Divide each side by '-8'. z = -2.25 Simplifying z = -2.25
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