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Simplifying 5 + -4(5z + 1) = -1(-6z + -3) + -8 Reorder the terms: 5 + -4(1 + 5z) = -1(-6z + -3) + -8 5 + (1 * -4 + 5z * -4) = -1(-6z + -3) + -8 5 + (-4 + -20z) = -1(-6z + -3) + -8 Combine like terms: 5 + -4 = 1 1 + -20z = -1(-6z + -3) + -8 Reorder the terms: 1 + -20z = -1(-3 + -6z) + -8 1 + -20z = (-3 * -1 + -6z * -1) + -8 1 + -20z = (3 + 6z) + -8 Reorder the terms: 1 + -20z = 3 + -8 + 6z Combine like terms: 3 + -8 = -5 1 + -20z = -5 + 6z Solving 1 + -20z = -5 + 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. 1 + -20z + -6z = -5 + 6z + -6z Combine like terms: -20z + -6z = -26z 1 + -26z = -5 + 6z + -6z Combine like terms: 6z + -6z = 0 1 + -26z = -5 + 0 1 + -26z = -5 Add '-1' to each side of the equation. 1 + -1 + -26z = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -26z = -5 + -1 -26z = -5 + -1 Combine like terms: -5 + -1 = -6 -26z = -6 Divide each side by '-26'. z = 0.2307692308 Simplifying z = 0.2307692308
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