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Simplifying 4(z + 6) = 3 + 5z Reorder the terms: 4(6 + z) = 3 + 5z (6 * 4 + z * 4) = 3 + 5z (24 + 4z) = 3 + 5z Solving 24 + 4z = 3 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 24 + 4z + -5z = 3 + 5z + -5z Combine like terms: 4z + -5z = -1z 24 + -1z = 3 + 5z + -5z Combine like terms: 5z + -5z = 0 24 + -1z = 3 + 0 24 + -1z = 3 Add '-24' to each side of the equation. 24 + -24 + -1z = 3 + -24 Combine like terms: 24 + -24 = 0 0 + -1z = 3 + -24 -1z = 3 + -24 Combine like terms: 3 + -24 = -21 -1z = -21 Divide each side by '-1'. z = 21 Simplifying z = 21
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