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Simplifying 3z + -9 + 19z + 5 = 24 + 21z + -7 Reorder the terms: -9 + 5 + 3z + 19z = 24 + 21z + -7 Combine like terms: -9 + 5 = -4 -4 + 3z + 19z = 24 + 21z + -7 Combine like terms: 3z + 19z = 22z -4 + 22z = 24 + 21z + -7 Reorder the terms: -4 + 22z = 24 + -7 + 21z Combine like terms: 24 + -7 = 17 -4 + 22z = 17 + 21z Solving -4 + 22z = 17 + 21z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-21z' to each side of the equation. -4 + 22z + -21z = 17 + 21z + -21z Combine like terms: 22z + -21z = 1z -4 + 1z = 17 + 21z + -21z Combine like terms: 21z + -21z = 0 -4 + 1z = 17 + 0 -4 + 1z = 17 Add '4' to each side of the equation. -4 + 4 + 1z = 17 + 4 Combine like terms: -4 + 4 = 0 0 + 1z = 17 + 4 1z = 17 + 4 Combine like terms: 17 + 4 = 21 1z = 21 Divide each side by '1'. z = 21 Simplifying z = 21
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