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Simplifying -3(2z + -7) = -1z + 21 + -3z Reorder the terms: -3(-7 + 2z) = -1z + 21 + -3z (-7 * -3 + 2z * -3) = -1z + 21 + -3z (21 + -6z) = -1z + 21 + -3z Reorder the terms: 21 + -6z = 21 + -1z + -3z Combine like terms: -1z + -3z = -4z 21 + -6z = 21 + -4z Add '-21' to each side of the equation. 21 + -21 + -6z = 21 + -21 + -4z Combine like terms: 21 + -21 = 0 0 + -6z = 21 + -21 + -4z -6z = 21 + -21 + -4z Combine like terms: 21 + -21 = 0 -6z = 0 + -4z -6z = -4z Solving -6z = -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. -6z + 4z = -4z + 4z Combine like terms: -6z + 4z = -2z -2z = -4z + 4z Combine like terms: -4z + 4z = 0 -2z = 0 Divide each side by '-2'. z = 0 Simplifying z = 0
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