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Simplifying -4(7z + -1) + 5z = -2(3z + 4) + -3z Reorder the terms: -4(-1 + 7z) + 5z = -2(3z + 4) + -3z (-1 * -4 + 7z * -4) + 5z = -2(3z + 4) + -3z (4 + -28z) + 5z = -2(3z + 4) + -3z Combine like terms: -28z + 5z = -23z 4 + -23z = -2(3z + 4) + -3z Reorder the terms: 4 + -23z = -2(4 + 3z) + -3z 4 + -23z = (4 * -2 + 3z * -2) + -3z 4 + -23z = (-8 + -6z) + -3z Combine like terms: -6z + -3z = -9z 4 + -23z = -8 + -9z Solving 4 + -23z = -8 + -9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9z' to each side of the equation. 4 + -23z + 9z = -8 + -9z + 9z Combine like terms: -23z + 9z = -14z 4 + -14z = -8 + -9z + 9z Combine like terms: -9z + 9z = 0 4 + -14z = -8 + 0 4 + -14z = -8 Add '-4' to each side of the equation. 4 + -4 + -14z = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -14z = -8 + -4 -14z = -8 + -4 Combine like terms: -8 + -4 = -12 -14z = -12 Divide each side by '-14'. z = 0.8571428571 Simplifying z = 0.8571428571
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