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Simplifying -7(z + -6) = 9 + -6z Reorder the terms: -7(-6 + z) = 9 + -6z (-6 * -7 + z * -7) = 9 + -6z (42 + -7z) = 9 + -6z Solving 42 + -7z = 9 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 42 + -7z + 6z = 9 + -6z + 6z Combine like terms: -7z + 6z = -1z 42 + -1z = 9 + -6z + 6z Combine like terms: -6z + 6z = 0 42 + -1z = 9 + 0 42 + -1z = 9 Add '-42' to each side of the equation. 42 + -42 + -1z = 9 + -42 Combine like terms: 42 + -42 = 0 0 + -1z = 9 + -42 -1z = 9 + -42 Combine like terms: 9 + -42 = -33 -1z = -33 Divide each side by '-1'. z = 33 Simplifying z = 33
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