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Simplifying -6 + -6(-6z + 3) = -2(z + -3) + 4 Reorder the terms: -6 + -6(3 + -6z) = -2(z + -3) + 4 -6 + (3 * -6 + -6z * -6) = -2(z + -3) + 4 -6 + (-18 + 36z) = -2(z + -3) + 4 Combine like terms: -6 + -18 = -24 -24 + 36z = -2(z + -3) + 4 Reorder the terms: -24 + 36z = -2(-3 + z) + 4 -24 + 36z = (-3 * -2 + z * -2) + 4 -24 + 36z = (6 + -2z) + 4 Reorder the terms: -24 + 36z = 6 + 4 + -2z Combine like terms: 6 + 4 = 10 -24 + 36z = 10 + -2z Solving -24 + 36z = 10 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -24 + 36z + 2z = 10 + -2z + 2z Combine like terms: 36z + 2z = 38z -24 + 38z = 10 + -2z + 2z Combine like terms: -2z + 2z = 0 -24 + 38z = 10 + 0 -24 + 38z = 10 Add '24' to each side of the equation. -24 + 24 + 38z = 10 + 24 Combine like terms: -24 + 24 = 0 0 + 38z = 10 + 24 38z = 10 + 24 Combine like terms: 10 + 24 = 34 38z = 34 Divide each side by '38'. z = 0.8947368421 Simplifying z = 0.8947368421
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