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Simplifying -4(4 + -3z) = 3z + 20 (4 * -4 + -3z * -4) = 3z + 20 (-16 + 12z) = 3z + 20 Reorder the terms: -16 + 12z = 20 + 3z Solving -16 + 12z = 20 + 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. -16 + 12z + -3z = 20 + 3z + -3z Combine like terms: 12z + -3z = 9z -16 + 9z = 20 + 3z + -3z Combine like terms: 3z + -3z = 0 -16 + 9z = 20 + 0 -16 + 9z = 20 Add '16' to each side of the equation. -16 + 16 + 9z = 20 + 16 Combine like terms: -16 + 16 = 0 0 + 9z = 20 + 16 9z = 20 + 16 Combine like terms: 20 + 16 = 36 9z = 36 Divide each side by '9'. z = 4 Simplifying z = 4
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