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Simplifying -4z + 4 + -2(3z + -4) = 32 Reorder the terms: -4z + 4 + -2(-4 + 3z) = 32 -4z + 4 + (-4 * -2 + 3z * -2) = 32 -4z + 4 + (8 + -6z) = 32 Reorder the terms: 4 + 8 + -4z + -6z = 32 Combine like terms: 4 + 8 = 12 12 + -4z + -6z = 32 Combine like terms: -4z + -6z = -10z 12 + -10z = 32 Solving 12 + -10z = 32 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 + -10z = 32 + -12 Combine like terms: 12 + -12 = 0 0 + -10z = 32 + -12 -10z = 32 + -12 Combine like terms: 32 + -12 = 20 -10z = 20 Divide each side by '-10'. z = -2 Simplifying z = -2
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