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Simplifying -3(z + -2) + -2(4z + -8) = 0 Reorder the terms: -3(-2 + z) + -2(4z + -8) = 0 (-2 * -3 + z * -3) + -2(4z + -8) = 0 (6 + -3z) + -2(4z + -8) = 0 Reorder the terms: 6 + -3z + -2(-8 + 4z) = 0 6 + -3z + (-8 * -2 + 4z * -2) = 0 6 + -3z + (16 + -8z) = 0 Reorder the terms: 6 + 16 + -3z + -8z = 0 Combine like terms: 6 + 16 = 22 22 + -3z + -8z = 0 Combine like terms: -3z + -8z = -11z 22 + -11z = 0 Solving 22 + -11z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -11z = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -11z = 0 + -22 -11z = 0 + -22 Combine like terms: 0 + -22 = -22 -11z = -22 Divide each side by '-11'. z = 2 Simplifying z = 2
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