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Simplifying -4(z + -8) + -1(-2z + -8) = -3z Reorder the terms: -4(-8 + z) + -1(-2z + -8) = -3z (-8 * -4 + z * -4) + -1(-2z + -8) = -3z (32 + -4z) + -1(-2z + -8) = -3z Reorder the terms: 32 + -4z + -1(-8 + -2z) = -3z 32 + -4z + (-8 * -1 + -2z * -1) = -3z 32 + -4z + (8 + 2z) = -3z Reorder the terms: 32 + 8 + -4z + 2z = -3z Combine like terms: 32 + 8 = 40 40 + -4z + 2z = -3z Combine like terms: -4z + 2z = -2z 40 + -2z = -3z Solving 40 + -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. 40 + -2z + 3z = -3z + 3z Combine like terms: -2z + 3z = 1z 40 + 1z = -3z + 3z Combine like terms: -3z + 3z = 0 40 + 1z = 0 Add '-40' to each side of the equation. 40 + -40 + 1z = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 1z = 0 + -40 1z = 0 + -40 Combine like terms: 0 + -40 = -40 1z = -40 Divide each side by '1'. z = -40 Simplifying z = -40
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