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Simplifying 3(-2z + 8) = -20 + -16 + -2z Reorder the terms: 3(8 + -2z) = -20 + -16 + -2z (8 * 3 + -2z * 3) = -20 + -16 + -2z (24 + -6z) = -20 + -16 + -2z Combine like terms: -20 + -16 = -36 24 + -6z = -36 + -2z Solving 24 + -6z = -36 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 24 + -6z + 2z = -36 + -2z + 2z Combine like terms: -6z + 2z = -4z 24 + -4z = -36 + -2z + 2z Combine like terms: -2z + 2z = 0 24 + -4z = -36 + 0 24 + -4z = -36 Add '-24' to each side of the equation. 24 + -24 + -4z = -36 + -24 Combine like terms: 24 + -24 = 0 0 + -4z = -36 + -24 -4z = -36 + -24 Combine like terms: -36 + -24 = -60 -4z = -60 Divide each side by '-4'. z = 15 Simplifying z = 15
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