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Simplifying 3(3z + 7) = 7 + -2(z + -7) Reorder the terms: 3(7 + 3z) = 7 + -2(z + -7) (7 * 3 + 3z * 3) = 7 + -2(z + -7) (21 + 9z) = 7 + -2(z + -7) Reorder the terms: 21 + 9z = 7 + -2(-7 + z) 21 + 9z = 7 + (-7 * -2 + z * -2) 21 + 9z = 7 + (14 + -2z) Combine like terms: 7 + 14 = 21 21 + 9z = 21 + -2z Add '-21' to each side of the equation. 21 + -21 + 9z = 21 + -21 + -2z Combine like terms: 21 + -21 = 0 0 + 9z = 21 + -21 + -2z 9z = 21 + -21 + -2z Combine like terms: 21 + -21 = 0 9z = 0 + -2z 9z = -2z Solving 9z = -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. 9z + 2z = -2z + 2z Combine like terms: 9z + 2z = 11z 11z = -2z + 2z Combine like terms: -2z + 2z = 0 11z = 0 Divide each side by '11'. z = 0 Simplifying z = 0
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