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Simplifying -2(-19z + 12) = -6(2 + -6z) Reorder the terms: -2(12 + -19z) = -6(2 + -6z) (12 * -2 + -19z * -2) = -6(2 + -6z) (-24 + 38z) = -6(2 + -6z) -24 + 38z = (2 * -6 + -6z * -6) -24 + 38z = (-12 + 36z) Solving -24 + 38z = -12 + 36z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-36z' to each side of the equation. -24 + 38z + -36z = -12 + 36z + -36z Combine like terms: 38z + -36z = 2z -24 + 2z = -12 + 36z + -36z Combine like terms: 36z + -36z = 0 -24 + 2z = -12 + 0 -24 + 2z = -12 Add '24' to each side of the equation. -24 + 24 + 2z = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 2z = -12 + 24 2z = -12 + 24 Combine like terms: -12 + 24 = 12 2z = 12 Divide each side by '2'. z = 6 Simplifying z = 6
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