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Simplifying -5(z + -1) + -1(1 + 7z) = -13z Reorder the terms: -5(-1 + z) + -1(1 + 7z) = -13z (-1 * -5 + z * -5) + -1(1 + 7z) = -13z (5 + -5z) + -1(1 + 7z) = -13z 5 + -5z + (1 * -1 + 7z * -1) = -13z 5 + -5z + (-1 + -7z) = -13z Reorder the terms: 5 + -1 + -5z + -7z = -13z Combine like terms: 5 + -1 = 4 4 + -5z + -7z = -13z Combine like terms: -5z + -7z = -12z 4 + -12z = -13z Solving 4 + -12z = -13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '13z' to each side of the equation. 4 + -12z + 13z = -13z + 13z Combine like terms: -12z + 13z = 1z 4 + 1z = -13z + 13z Combine like terms: -13z + 13z = 0 4 + 1z = 0 Add '-4' to each side of the equation. 4 + -4 + 1z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 1z = 0 + -4 1z = 0 + -4 Combine like terms: 0 + -4 = -4 1z = -4 Divide each side by '1'. z = -4 Simplifying z = -4
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