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Simplifying 4z + 2(2 + -3) = 0 Combine like terms: 2 + -3 = -1 4z + 2(-1) = 0 Multiply 2 * -1 4z + -2 = 0 Reorder the terms: -2 + 4z = 0 Solving -2 + 4z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 4z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 4z = 0 + 2 4z = 0 + 2 Combine like terms: 0 + 2 = 2 4z = 2 Divide each side by '4'. z = 0.5 Simplifying z = 0.5
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