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Simplifying 4(z + 9) = 3z Reorder the terms: 4(9 + z) = 3z (9 * 4 + z * 4) = 3z (36 + 4z) = 3z Solving 36 + 4z = 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 36 + 4z + -3z = 3z + -3z Combine like terms: 4z + -3z = 1z 36 + 1z = 3z + -3z Combine like terms: 3z + -3z = 0 36 + 1z = 0 Add '-36' to each side of the equation. 36 + -36 + 1z = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 1z = 0 + -36 1z = 0 + -36 Combine like terms: 0 + -36 = -36 1z = -36 Divide each side by '1'. z = -36 Simplifying z = -36
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