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Simplifying -5(4 + -5z) = 19z + 16 (4 * -5 + -5z * -5) = 19z + 16 (-20 + 25z) = 19z + 16 Reorder the terms: -20 + 25z = 16 + 19z Solving -20 + 25z = 16 + 19z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-19z' to each side of the equation. -20 + 25z + -19z = 16 + 19z + -19z Combine like terms: 25z + -19z = 6z -20 + 6z = 16 + 19z + -19z Combine like terms: 19z + -19z = 0 -20 + 6z = 16 + 0 -20 + 6z = 16 Add '20' to each side of the equation. -20 + 20 + 6z = 16 + 20 Combine like terms: -20 + 20 = 0 0 + 6z = 16 + 20 6z = 16 + 20 Combine like terms: 16 + 20 = 36 6z = 36 Divide each side by '6'. z = 6 Simplifying z = 6
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