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Simplifying -8(z + -1) + -1(4z + -6) = -13z Reorder the terms: -8(-1 + z) + -1(4z + -6) = -13z (-1 * -8 + z * -8) + -1(4z + -6) = -13z (8 + -8z) + -1(4z + -6) = -13z Reorder the terms: 8 + -8z + -1(-6 + 4z) = -13z 8 + -8z + (-6 * -1 + 4z * -1) = -13z 8 + -8z + (6 + -4z) = -13z Reorder the terms: 8 + 6 + -8z + -4z = -13z Combine like terms: 8 + 6 = 14 14 + -8z + -4z = -13z Combine like terms: -8z + -4z = -12z 14 + -12z = -13z Solving 14 + -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. 14 + -12z + 13z = -13z + 13z Combine like terms: -12z + 13z = 1z 14 + 1z = -13z + 13z Combine like terms: -13z + 13z = 0 14 + 1z = 0 Add '-14' to each side of the equation. 14 + -14 + 1z = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 1z = 0 + -14 1z = 0 + -14 Combine like terms: 0 + -14 = -14 1z = -14 Divide each side by '1'. z = -14 Simplifying z = -14
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