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