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Simplifying 8 + -5(-8z + -5) = 4(9z + 5) + -7 Reorder the terms: 8 + -5(-5 + -8z) = 4(9z + 5) + -7 8 + (-5 * -5 + -8z * -5) = 4(9z + 5) + -7 8 + (25 + 40z) = 4(9z + 5) + -7 Combine like terms: 8 + 25 = 33 33 + 40z = 4(9z + 5) + -7 Reorder the terms: 33 + 40z = 4(5 + 9z) + -7 33 + 40z = (5 * 4 + 9z * 4) + -7 33 + 40z = (20 + 36z) + -7 Reorder the terms: 33 + 40z = 20 + -7 + 36z Combine like terms: 20 + -7 = 13 33 + 40z = 13 + 36z Solving 33 + 40z = 13 + 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. 33 + 40z + -36z = 13 + 36z + -36z Combine like terms: 40z + -36z = 4z 33 + 4z = 13 + 36z + -36z Combine like terms: 36z + -36z = 0 33 + 4z = 13 + 0 33 + 4z = 13 Add '-33' to each side of the equation. 33 + -33 + 4z = 13 + -33 Combine like terms: 33 + -33 = 0 0 + 4z = 13 + -33 4z = 13 + -33 Combine like terms: 13 + -33 = -20 4z = -20 Divide each side by '4'. z = -5 Simplifying z = -5
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