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