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Simplifying -3(-16z + 20) + -19z = 20z + -6 Reorder the terms: -3(20 + -16z) + -19z = 20z + -6 (20 * -3 + -16z * -3) + -19z = 20z + -6 (-60 + 48z) + -19z = 20z + -6 Combine like terms: 48z + -19z = 29z -60 + 29z = 20z + -6 Reorder the terms: -60 + 29z = -6 + 20z Solving -60 + 29z = -6 + 20z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20z' to each side of the equation. -60 + 29z + -20z = -6 + 20z + -20z Combine like terms: 29z + -20z = 9z -60 + 9z = -6 + 20z + -20z Combine like terms: 20z + -20z = 0 -60 + 9z = -6 + 0 -60 + 9z = -6 Add '60' to each side of the equation. -60 + 60 + 9z = -6 + 60 Combine like terms: -60 + 60 = 0 0 + 9z = -6 + 60 9z = -6 + 60 Combine like terms: -6 + 60 = 54 9z = 54 Divide each side by '9'. z = 6 Simplifying z = 6
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