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Simplifying 7(6 + z) = 84 (6 * 7 + z * 7) = 84 (42 + 7z) = 84 Solving 42 + 7z = 84 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 + 7z = 84 + -42 Combine like terms: 42 + -42 = 0 0 + 7z = 84 + -42 7z = 84 + -42 Combine like terms: 84 + -42 = 42 7z = 42 Divide each side by '7'. z = 6 Simplifying z = 6
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