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Simplifying 4z + 2 = -2(z + 2) Reorder the terms: 2 + 4z = -2(z + 2) Reorder the terms: 2 + 4z = -2(2 + z) 2 + 4z = (2 * -2 + z * -2) 2 + 4z = (-4 + -2z) Solving 2 + 4z = -4 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 2 + 4z + 2z = -4 + -2z + 2z Combine like terms: 4z + 2z = 6z 2 + 6z = -4 + -2z + 2z Combine like terms: -2z + 2z = 0 2 + 6z = -4 + 0 2 + 6z = -4 Add '-2' to each side of the equation. 2 + -2 + 6z = -4 + -2 Combine like terms: 2 + -2 = 0 0 + 6z = -4 + -2 6z = -4 + -2 Combine like terms: -4 + -2 = -6 6z = -6 Divide each side by '6'. z = -1 Simplifying z = -1
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