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Simplifying -3(z + 7) = 9 + -2z Reorder the terms: -3(7 + z) = 9 + -2z (7 * -3 + z * -3) = 9 + -2z (-21 + -3z) = 9 + -2z Solving -21 + -3z = 9 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -21 + -3z + 2z = 9 + -2z + 2z Combine like terms: -3z + 2z = -1z -21 + -1z = 9 + -2z + 2z Combine like terms: -2z + 2z = 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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