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Simplifying -4(-12z + 20) = 16z + 16 Reorder the terms: -4(20 + -12z) = 16z + 16 (20 * -4 + -12z * -4) = 16z + 16 (-80 + 48z) = 16z + 16 Reorder the terms: -80 + 48z = 16 + 16z Solving -80 + 48z = 16 + 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. -80 + 48z + -16z = 16 + 16z + -16z Combine like terms: 48z + -16z = 32z -80 + 32z = 16 + 16z + -16z Combine like terms: 16z + -16z = 0 -80 + 32z = 16 + 0 -80 + 32z = 16 Add '80' to each side of the equation. -80 + 80 + 32z = 16 + 80 Combine like terms: -80 + 80 = 0 0 + 32z = 16 + 80 32z = 16 + 80 Combine like terms: 16 + 80 = 96 32z = 96 Divide each side by '32'. z = 3 Simplifying z = 3
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