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Simplifying 2(4z + -6) = 42 Reorder the terms: 2(-6 + 4z) = 42 (-6 * 2 + 4z * 2) = 42 (-12 + 8z) = 42 Solving -12 + 8z = 42 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 8z = 42 + 12 Combine like terms: -12 + 12 = 0 0 + 8z = 42 + 12 8z = 42 + 12 Combine like terms: 42 + 12 = 54 8z = 54 Divide each side by '8'. z = 6.75 Simplifying z = 6.75
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