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Simplifying 7(-6 + 3z) = 42 (-6 * 7 + 3z * 7) = 42 (-42 + 21z) = 42 Solving -42 + 21z = 42 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 21z = 42 + 42 Combine like terms: -42 + 42 = 0 0 + 21z = 42 + 42 21z = 42 + 42 Combine like terms: 42 + 42 = 84 21z = 84 Divide each side by '21'. z = 4 Simplifying z = 4
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