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Simplifying 4z + 4(-7z + 3) = 0 Reorder the terms: 4z + 4(3 + -7z) = 0 4z + (3 * 4 + -7z * 4) = 0 4z + (12 + -28z) = 0 Reorder the terms: 12 + 4z + -28z = 0 Combine like terms: 4z + -28z = -24z 12 + -24z = 0 Solving 12 + -24z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -24z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -24z = 0 + -12 -24z = 0 + -12 Combine like terms: 0 + -12 = -12 -24z = -12 Divide each side by '-24'. z = 0.5 Simplifying z = 0.5
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