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Simplifying -8(z + 2) + -1(4 + -5z) = -4z Reorder the terms: -8(2 + z) + -1(4 + -5z) = -4z (2 * -8 + z * -8) + -1(4 + -5z) = -4z (-16 + -8z) + -1(4 + -5z) = -4z -16 + -8z + (4 * -1 + -5z * -1) = -4z -16 + -8z + (-4 + 5z) = -4z Reorder the terms: -16 + -4 + -8z + 5z = -4z Combine like terms: -16 + -4 = -20 -20 + -8z + 5z = -4z Combine like terms: -8z + 5z = -3z -20 + -3z = -4z Solving -20 + -3z = -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. -20 + -3z + 4z = -4z + 4z Combine like terms: -3z + 4z = 1z -20 + 1z = -4z + 4z Combine like terms: -4z + 4z = 0 -20 + 1z = 0 Add '20' to each side of the equation. -20 + 20 + 1z = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 1z = 0 + 20 1z = 0 + 20 Combine like terms: 0 + 20 = 20 1z = 20 Divide each side by '1'. z = 20 Simplifying z = 20
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