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Simplifying -6(4z + -4) + 16z = -12 + 2z + -8z Reorder the terms: -6(-4 + 4z) + 16z = -12 + 2z + -8z (-4 * -6 + 4z * -6) + 16z = -12 + 2z + -8z (24 + -24z) + 16z = -12 + 2z + -8z Combine like terms: -24z + 16z = -8z 24 + -8z = -12 + 2z + -8z Combine like terms: 2z + -8z = -6z 24 + -8z = -12 + -6z Solving 24 + -8z = -12 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 24 + -8z + 6z = -12 + -6z + 6z Combine like terms: -8z + 6z = -2z 24 + -2z = -12 + -6z + 6z Combine like terms: -6z + 6z = 0 24 + -2z = -12 + 0 24 + -2z = -12 Add '-24' to each side of the equation. 24 + -24 + -2z = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -2z = -12 + -24 -2z = -12 + -24 Combine like terms: -12 + -24 = -36 -2z = -36 Divide each side by '-2'. z = 18 Simplifying z = 18
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