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Simplifying -7(z + -3) = -6z + -9 Reorder the terms: -7(-3 + z) = -6z + -9 (-3 * -7 + z * -7) = -6z + -9 (21 + -7z) = -6z + -9 Reorder the terms: 21 + -7z = -9 + -6z Solving 21 + -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. 21 + -7z + 6z = -9 + -6z + 6z Combine like terms: -7z + 6z = -1z 21 + -1z = -9 + -6z + 6z Combine like terms: -6z + 6z = 0 21 + -1z = -9 + 0 21 + -1z = -9 Add '-21' to each side of the equation. 21 + -21 + -1z = -9 + -21 Combine like terms: 21 + -21 = 0 0 + -1z = -9 + -21 -1z = -9 + -21 Combine like terms: -9 + -21 = -30 -1z = -30 Divide each side by '-1'. z = 30 Simplifying z = 30
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