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Simplifying 4z + -2(z + -5) + 12 = 0 Reorder the terms: 4z + -2(-5 + z) + 12 = 0 4z + (-5 * -2 + z * -2) + 12 = 0 4z + (10 + -2z) + 12 = 0 Reorder the terms: 10 + 12 + 4z + -2z = 0 Combine like terms: 10 + 12 = 22 22 + 4z + -2z = 0 Combine like terms: 4z + -2z = 2z 22 + 2z = 0 Solving 22 + 2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 2z = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 2z = 0 + -22 2z = 0 + -22 Combine like terms: 0 + -22 = -22 2z = -22 Divide each side by '2'. z = -11 Simplifying z = -11
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