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Simplifying -3(2z + -7) = 3z + 21 + -3z Reorder the terms: -3(-7 + 2z) = 3z + 21 + -3z (-7 * -3 + 2z * -3) = 3z + 21 + -3z (21 + -6z) = 3z + 21 + -3z Reorder the terms: 21 + -6z = 21 + 3z + -3z Combine like terms: 3z + -3z = 0 21 + -6z = 21 + 0 21 + -6z = 21 Add '-21' to each side of the equation. 21 + -21 + -6z = 21 + -21 Combine like terms: 21 + -21 = 0 0 + -6z = 21 + -21 -6z = 21 + -21 Combine like terms: 21 + -21 = 0 -6z = 0 Solving -6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Divide each side by '-6'. z = 0 Simplifying z = 0
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