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Simplifying 2(z + 12) + -8(z + -12) = 0 Reorder the terms: 2(12 + z) + -8(z + -12) = 0 (12 * 2 + z * 2) + -8(z + -12) = 0 (24 + 2z) + -8(z + -12) = 0 Reorder the terms: 24 + 2z + -8(-12 + z) = 0 24 + 2z + (-12 * -8 + z * -8) = 0 24 + 2z + (96 + -8z) = 0 Reorder the terms: 24 + 96 + 2z + -8z = 0 Combine like terms: 24 + 96 = 120 120 + 2z + -8z = 0 Combine like terms: 2z + -8z = -6z 120 + -6z = 0 Solving 120 + -6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + -6z = 0 + -120 Combine like terms: 120 + -120 = 0 0 + -6z = 0 + -120 -6z = 0 + -120 Combine like terms: 0 + -120 = -120 -6z = -120 Divide each side by '-6'. z = 20 Simplifying z = 20
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