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Simplifying 12 = -4(z + 1) Reorder the terms: 12 = -4(1 + z) 12 = (1 * -4 + z * -4) 12 = (-4 + -4z) Solving 12 = -4 + -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 = -4 + -4z + 4z Combine like terms: -4z + 4z = 0 12 + 4z = -4 + 0 12 + 4z = -4 Add '-12' to each side of the equation. 12 + -12 + 4z = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 4z = -4 + -12 4z = -4 + -12 Combine like terms: -4 + -12 = -16 4z = -16 Divide each side by '4'. z = -4 Simplifying z = -4
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