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Simplifying -3(9z + 7) = 25 + -4z Reorder the terms: -3(7 + 9z) = 25 + -4z (7 * -3 + 9z * -3) = 25 + -4z (-21 + -27z) = 25 + -4z Solving -21 + -27z = 25 + -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. -21 + -27z + 4z = 25 + -4z + 4z Combine like terms: -27z + 4z = -23z -21 + -23z = 25 + -4z + 4z Combine like terms: -4z + 4z = 0 -21 + -23z = 25 + 0 -21 + -23z = 25 Add '21' to each side of the equation. -21 + 21 + -23z = 25 + 21 Combine like terms: -21 + 21 = 0 0 + -23z = 25 + 21 -23z = 25 + 21 Combine like terms: 25 + 21 = 46 -23z = 46 Divide each side by '-23'. z = -2 Simplifying z = -2
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