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Simplifying 24z + -2 + -2z + -6 = 19z + 19 Reorder the terms: -2 + -6 + 24z + -2z = 19z + 19 Combine like terms: -2 + -6 = -8 -8 + 24z + -2z = 19z + 19 Combine like terms: 24z + -2z = 22z -8 + 22z = 19z + 19 Reorder the terms: -8 + 22z = 19 + 19z Solving -8 + 22z = 19 + 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. -8 + 22z + -19z = 19 + 19z + -19z Combine like terms: 22z + -19z = 3z -8 + 3z = 19 + 19z + -19z Combine like terms: 19z + -19z = 0 -8 + 3z = 19 + 0 -8 + 3z = 19 Add '8' to each side of the equation. -8 + 8 + 3z = 19 + 8 Combine like terms: -8 + 8 = 0 0 + 3z = 19 + 8 3z = 19 + 8 Combine like terms: 19 + 8 = 27 3z = 27 Divide each side by '3'. z = 9 Simplifying z = 9
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