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Simplifying 12 = -4(z + 13) Reorder the terms: 12 = -4(13 + z) 12 = (13 * -4 + z * -4) 12 = (-52 + -4z) Solving 12 = -52 + -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. 12 + 4z = -52 + -4z + 4z Combine like terms: -4z + 4z = 0 12 + 4z = -52 + 0 12 + 4z = -52 Add '-12' to each side of the equation. 12 + -12 + 4z = -52 + -12 Combine like terms: 12 + -12 = 0 0 + 4z = -52 + -12 4z = -52 + -12 Combine like terms: -52 + -12 = -64 4z = -64 Divide each side by '4'. z = -16 Simplifying z = -16
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