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Simplifying -4[6z + 2 + 4(z + 1)] = 4z + -7 Reorder the terms: -4[6z + 2 + 4(1 + z)] = 4z + -7 -4[6z + 2 + (1 * 4 + z * 4)] = 4z + -7 -4[6z + 2 + (4 + 4z)] = 4z + -7 Reorder the terms: -4[2 + 4 + 6z + 4z] = 4z + -7 Combine like terms: 2 + 4 = 6 -4[6 + 6z + 4z] = 4z + -7 Combine like terms: 6z + 4z = 10z -4[6 + 10z] = 4z + -7 [6 * -4 + 10z * -4] = 4z + -7 [-24 + -40z] = 4z + -7 Reorder the terms: -24 + -40z = -7 + 4z Solving -24 + -40z = -7 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -24 + -40z + -4z = -7 + 4z + -4z Combine like terms: -40z + -4z = -44z -24 + -44z = -7 + 4z + -4z Combine like terms: 4z + -4z = 0 -24 + -44z = -7 + 0 -24 + -44z = -7 Add '24' to each side of the equation. -24 + 24 + -44z = -7 + 24 Combine like terms: -24 + 24 = 0 0 + -44z = -7 + 24 -44z = -7 + 24 Combine like terms: -7 + 24 = 17 -44z = 17 Divide each side by '-44'. z = -0.3863636364 Simplifying z = -0.3863636364
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