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Simplifying 52 = 4(z + 3) Reorder the terms: 52 = 4(3 + z) 52 = (3 * 4 + z * 4) 52 = (12 + 4z) Solving 52 = 12 + 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. 52 + -4z = 12 + 4z + -4z Combine like terms: 4z + -4z = 0 52 + -4z = 12 + 0 52 + -4z = 12 Add '-52' to each side of the equation. 52 + -52 + -4z = 12 + -52 Combine like terms: 52 + -52 = 0 0 + -4z = 12 + -52 -4z = 12 + -52 Combine like terms: 12 + -52 = -40 -4z = -40 Divide each side by '-4'. z = 10 Simplifying z = 10
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