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Simplifying 7(z + 3) + -1(-3z + -7) = 9z Reorder the terms: 7(3 + z) + -1(-3z + -7) = 9z (3 * 7 + z * 7) + -1(-3z + -7) = 9z (21 + 7z) + -1(-3z + -7) = 9z Reorder the terms: 21 + 7z + -1(-7 + -3z) = 9z 21 + 7z + (-7 * -1 + -3z * -1) = 9z 21 + 7z + (7 + 3z) = 9z Reorder the terms: 21 + 7 + 7z + 3z = 9z Combine like terms: 21 + 7 = 28 28 + 7z + 3z = 9z Combine like terms: 7z + 3z = 10z 28 + 10z = 9z Solving 28 + 10z = 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 28 + 10z + -9z = 9z + -9z Combine like terms: 10z + -9z = 1z 28 + 1z = 9z + -9z Combine like terms: 9z + -9z = 0 28 + 1z = 0 Add '-28' to each side of the equation. 28 + -28 + 1z = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 1z = 0 + -28 1z = 0 + -28 Combine like terms: 0 + -28 = -28 1z = -28 Divide each side by '1'. z = -28 Simplifying z = -28
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