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Simplifying 2(3z + -6) + -4(z + -5) = 0 Reorder the terms: 2(-6 + 3z) + -4(z + -5) = 0 (-6 * 2 + 3z * 2) + -4(z + -5) = 0 (-12 + 6z) + -4(z + -5) = 0 Reorder the terms: -12 + 6z + -4(-5 + z) = 0 -12 + 6z + (-5 * -4 + z * -4) = 0 -12 + 6z + (20 + -4z) = 0 Reorder the terms: -12 + 20 + 6z + -4z = 0 Combine like terms: -12 + 20 = 8 8 + 6z + -4z = 0 Combine like terms: 6z + -4z = 2z 8 + 2z = 0 Solving 8 + 2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2z = 0 + -8 2z = 0 + -8 Combine like terms: 0 + -8 = -8 2z = -8 Divide each side by '2'. z = -4 Simplifying z = -4
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