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Simplifying 10z + 3(4 + -3z) = 4 10z + (4 * 3 + -3z * 3) = 4 10z + (12 + -9z) = 4 Reorder the terms: 12 + 10z + -9z = 4 Combine like terms: 10z + -9z = 1z 12 + 1z = 4 Solving 12 + 1z = 4 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 + 1z = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 1z = 4 + -12 1z = 4 + -12 Combine like terms: 4 + -12 = -8 1z = -8 Divide each side by '1'. z = -8 Simplifying z = -8
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