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Simplifying -6(z + -5) + -1(7 + -4z) = -3z Reorder the terms: -6(-5 + z) + -1(7 + -4z) = -3z (-5 * -6 + z * -6) + -1(7 + -4z) = -3z (30 + -6z) + -1(7 + -4z) = -3z 30 + -6z + (7 * -1 + -4z * -1) = -3z 30 + -6z + (-7 + 4z) = -3z Reorder the terms: 30 + -7 + -6z + 4z = -3z Combine like terms: 30 + -7 = 23 23 + -6z + 4z = -3z Combine like terms: -6z + 4z = -2z 23 + -2z = -3z Solving 23 + -2z = -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 23 + -2z + 3z = -3z + 3z Combine like terms: -2z + 3z = 1z 23 + 1z = -3z + 3z Combine like terms: -3z + 3z = 0 23 + 1z = 0 Add '-23' to each side of the equation. 23 + -23 + 1z = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 1z = 0 + -23 1z = 0 + -23 Combine like terms: 0 + -23 = -23 1z = -23 Divide each side by '1'. z = -23 Simplifying z = -23
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