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Simplifying 4(3z + 2) = 4 + -2(z + -2) Reorder the terms: 4(2 + 3z) = 4 + -2(z + -2) (2 * 4 + 3z * 4) = 4 + -2(z + -2) (8 + 12z) = 4 + -2(z + -2) Reorder the terms: 8 + 12z = 4 + -2(-2 + z) 8 + 12z = 4 + (-2 * -2 + z * -2) 8 + 12z = 4 + (4 + -2z) Combine like terms: 4 + 4 = 8 8 + 12z = 8 + -2z Add '-8' to each side of the equation. 8 + -8 + 12z = 8 + -8 + -2z Combine like terms: 8 + -8 = 0 0 + 12z = 8 + -8 + -2z 12z = 8 + -8 + -2z Combine like terms: 8 + -8 = 0 12z = 0 + -2z 12z = -2z Solving 12z = -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. 12z + 2z = -2z + 2z Combine like terms: 12z + 2z = 14z 14z = -2z + 2z Combine like terms: -2z + 2z = 0 14z = 0 Divide each side by '14'. z = 0 Simplifying z = 0
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