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Simplifying 3z + -6(4z + -20) = -4z + -16 Reorder the terms: 3z + -6(-20 + 4z) = -4z + -16 3z + (-20 * -6 + 4z * -6) = -4z + -16 3z + (120 + -24z) = -4z + -16 Reorder the terms: 120 + 3z + -24z = -4z + -16 Combine like terms: 3z + -24z = -21z 120 + -21z = -4z + -16 Reorder the terms: 120 + -21z = -16 + -4z Solving 120 + -21z = -16 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 120 + -21z + 4z = -16 + -4z + 4z Combine like terms: -21z + 4z = -17z 120 + -17z = -16 + -4z + 4z Combine like terms: -4z + 4z = 0 120 + -17z = -16 + 0 120 + -17z = -16 Add '-120' to each side of the equation. 120 + -120 + -17z = -16 + -120 Combine like terms: 120 + -120 = 0 0 + -17z = -16 + -120 -17z = -16 + -120 Combine like terms: -16 + -120 = -136 -17z = -136 Divide each side by '-17'. z = 8 Simplifying z = 8
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