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Simplifying -5(6z + 1) + -4 = -4 + -4z Reorder the terms: -5(1 + 6z) + -4 = -4 + -4z (1 * -5 + 6z * -5) + -4 = -4 + -4z (-5 + -30z) + -4 = -4 + -4z Reorder the terms: -5 + -4 + -30z = -4 + -4z Combine like terms: -5 + -4 = -9 -9 + -30z = -4 + -4z Solving -9 + -30z = -4 + -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. -9 + -30z + 4z = -4 + -4z + 4z Combine like terms: -30z + 4z = -26z -9 + -26z = -4 + -4z + 4z Combine like terms: -4z + 4z = 0 -9 + -26z = -4 + 0 -9 + -26z = -4 Add '9' to each side of the equation. -9 + 9 + -26z = -4 + 9 Combine like terms: -9 + 9 = 0 0 + -26z = -4 + 9 -26z = -4 + 9 Combine like terms: -4 + 9 = 5 -26z = 5 Divide each side by '-26'. z = -0.1923076923 Simplifying z = -0.1923076923
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