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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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