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Simplifying 3(z + 7) = 7 + z Reorder the terms: 3(7 + z) = 7 + z (7 * 3 + z * 3) = 7 + z (21 + 3z) = 7 + z Solving 21 + 3z = 7 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 21 + 3z + -1z = 7 + z + -1z Combine like terms: 3z + -1z = 2z 21 + 2z = 7 + z + -1z Combine like terms: z + -1z = 0 21 + 2z = 7 + 0 21 + 2z = 7 Add '-21' to each side of the equation. 21 + -21 + 2z = 7 + -21 Combine like terms: 21 + -21 = 0 0 + 2z = 7 + -21 2z = 7 + -21 Combine like terms: 7 + -21 = -14 2z = -14 Divide each side by '2'. z = -7 Simplifying z = -7
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