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Simplifying -1 + -5(-8z + -1) = -6(-6z + 5) + 3 Reorder the terms: -1 + -5(-1 + -8z) = -6(-6z + 5) + 3 -1 + (-1 * -5 + -8z * -5) = -6(-6z + 5) + 3 -1 + (5 + 40z) = -6(-6z + 5) + 3 Combine like terms: -1 + 5 = 4 4 + 40z = -6(-6z + 5) + 3 Reorder the terms: 4 + 40z = -6(5 + -6z) + 3 4 + 40z = (5 * -6 + -6z * -6) + 3 4 + 40z = (-30 + 36z) + 3 Reorder the terms: 4 + 40z = -30 + 3 + 36z Combine like terms: -30 + 3 = -27 4 + 40z = -27 + 36z Solving 4 + 40z = -27 + 36z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-36z' to each side of the equation. 4 + 40z + -36z = -27 + 36z + -36z Combine like terms: 40z + -36z = 4z 4 + 4z = -27 + 36z + -36z Combine like terms: 36z + -36z = 0 4 + 4z = -27 + 0 4 + 4z = -27 Add '-4' to each side of the equation. 4 + -4 + 4z = -27 + -4 Combine like terms: 4 + -4 = 0 0 + 4z = -27 + -4 4z = -27 + -4 Combine like terms: -27 + -4 = -31 4z = -31 Divide each side by '4'. z = -7.75 Simplifying z = -7.75
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