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