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Simplifying 3(z + 7) = 4(z + 6) + 9 Reorder the terms: 3(7 + z) = 4(z + 6) + 9 (7 * 3 + z * 3) = 4(z + 6) + 9 (21 + 3z) = 4(z + 6) + 9 Reorder the terms: 21 + 3z = 4(6 + z) + 9 21 + 3z = (6 * 4 + z * 4) + 9 21 + 3z = (24 + 4z) + 9 Reorder the terms: 21 + 3z = 24 + 9 + 4z Combine like terms: 24 + 9 = 33 21 + 3z = 33 + 4z Solving 21 + 3z = 33 + 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 + 3z + -4z = 33 + 4z + -4z Combine like terms: 3z + -4z = -1z 21 + -1z = 33 + 4z + -4z Combine like terms: 4z + -4z = 0 21 + -1z = 33 + 0 21 + -1z = 33 Add '-21' to each side of the equation. 21 + -21 + -1z = 33 + -21 Combine like terms: 21 + -21 = 0 0 + -1z = 33 + -21 -1z = 33 + -21 Combine like terms: 33 + -21 = 12 -1z = 12 Divide each side by '-1'. z = -12 Simplifying z = -12
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