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Simplifying -8(z + -9) + -1(-5z + -9) = -4z Reorder the terms: -8(-9 + z) + -1(-5z + -9) = -4z (-9 * -8 + z * -8) + -1(-5z + -9) = -4z (72 + -8z) + -1(-5z + -9) = -4z Reorder the terms: 72 + -8z + -1(-9 + -5z) = -4z 72 + -8z + (-9 * -1 + -5z * -1) = -4z 72 + -8z + (9 + 5z) = -4z Reorder the terms: 72 + 9 + -8z + 5z = -4z Combine like terms: 72 + 9 = 81 81 + -8z + 5z = -4z Combine like terms: -8z + 5z = -3z 81 + -3z = -4z Solving 81 + -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. 81 + -3z + 4z = -4z + 4z Combine like terms: -3z + 4z = 1z 81 + 1z = -4z + 4z Combine like terms: -4z + 4z = 0 81 + 1z = 0 Add '-81' to each side of the equation. 81 + -81 + 1z = 0 + -81 Combine like terms: 81 + -81 = 0 0 + 1z = 0 + -81 1z = 0 + -81 Combine like terms: 0 + -81 = -81 1z = -81 Divide each side by '1'. z = -81 Simplifying z = -81
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