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Simplifying -5(z + -8) = -6z Reorder the terms: -5(-8 + z) = -6z (-8 * -5 + z * -5) = -6z (40 + -5z) = -6z Solving 40 + -5z = -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 40 + -5z + 6z = -6z + 6z Combine like terms: -5z + 6z = 1z 40 + 1z = -6z + 6z Combine like terms: -6z + 6z = 0 40 + 1z = 0 Add '-40' to each side of the equation. 40 + -40 + 1z = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 1z = 0 + -40 1z = 0 + -40 Combine like terms: 0 + -40 = -40 1z = -40 Divide each side by '1'. z = -40 Simplifying z = -40
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