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Simplifying -1z(2 + -4) + -3(2 + 4z) = 0 Combine like terms: 2 + -4 = -2 -1z(-2) + -3(2 + 4z) = 0 Reorder the terms for easier multiplication: -1 * -2z + -3(2 + 4z) = 0 Multiply -1 * -2 2z + -3(2 + 4z) = 0 2z + (2 * -3 + 4z * -3) = 0 2z + (-6 + -12z) = 0 Reorder the terms: -6 + 2z + -12z = 0 Combine like terms: 2z + -12z = -10z -6 + -10z = 0 Solving -6 + -10z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -10z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -10z = 0 + 6 -10z = 0 + 6 Combine like terms: 0 + 6 = 6 -10z = 6 Divide each side by '-10'. z = -0.6 Simplifying z = -0.6
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