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Simplifying 23z + -18z + -30 = 9 + -21z + 13z Reorder the terms: -30 + 23z + -18z = 9 + -21z + 13z Combine like terms: 23z + -18z = 5z -30 + 5z = 9 + -21z + 13z Combine like terms: -21z + 13z = -8z -30 + 5z = 9 + -8z Solving -30 + 5z = 9 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. -30 + 5z + 8z = 9 + -8z + 8z Combine like terms: 5z + 8z = 13z -30 + 13z = 9 + -8z + 8z Combine like terms: -8z + 8z = 0 -30 + 13z = 9 + 0 -30 + 13z = 9 Add '30' to each side of the equation. -30 + 30 + 13z = 9 + 30 Combine like terms: -30 + 30 = 0 0 + 13z = 9 + 30 13z = 9 + 30 Combine like terms: 9 + 30 = 39 13z = 39 Divide each side by '13'. z = 3 Simplifying z = 3
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