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Simplifying -2 = 4(3 + -6z) + -2z -2 = (3 * 4 + -6z * 4) + -2z -2 = (12 + -24z) + -2z Combine like terms: -24z + -2z = -26z -2 = 12 + -26z Solving -2 = 12 + -26z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '26z' to each side of the equation. -2 + 26z = 12 + -26z + 26z Combine like terms: -26z + 26z = 0 -2 + 26z = 12 + 0 -2 + 26z = 12 Add '2' to each side of the equation. -2 + 2 + 26z = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 26z = 12 + 2 26z = 12 + 2 Combine like terms: 12 + 2 = 14 26z = 14 Divide each side by '26'. z = 0.5384615385 Simplifying z = 0.5384615385
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