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Simplifying -4(z + -8) + -1(3z + -7) = -8z Reorder the terms: -4(-8 + z) + -1(3z + -7) = -8z (-8 * -4 + z * -4) + -1(3z + -7) = -8z (32 + -4z) + -1(3z + -7) = -8z Reorder the terms: 32 + -4z + -1(-7 + 3z) = -8z 32 + -4z + (-7 * -1 + 3z * -1) = -8z 32 + -4z + (7 + -3z) = -8z Reorder the terms: 32 + 7 + -4z + -3z = -8z Combine like terms: 32 + 7 = 39 39 + -4z + -3z = -8z Combine like terms: -4z + -3z = -7z 39 + -7z = -8z Solving 39 + -7z = -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. 39 + -7z + 8z = -8z + 8z Combine like terms: -7z + 8z = 1z 39 + 1z = -8z + 8z Combine like terms: -8z + 8z = 0 39 + 1z = 0 Add '-39' to each side of the equation. 39 + -39 + 1z = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 1z = 0 + -39 1z = 0 + -39 Combine like terms: 0 + -39 = -39 1z = -39 Divide each side by '1'. z = -39 Simplifying z = -39
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