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Simplifying 6z + -3 + 9z + -33 = 8z + 21 + -6z + -25 Reorder the terms: -3 + -33 + 6z + 9z = 8z + 21 + -6z + -25 Combine like terms: -3 + -33 = -36 -36 + 6z + 9z = 8z + 21 + -6z + -25 Combine like terms: 6z + 9z = 15z -36 + 15z = 8z + 21 + -6z + -25 Reorder the terms: -36 + 15z = 21 + -25 + 8z + -6z Combine like terms: 21 + -25 = -4 -36 + 15z = -4 + 8z + -6z Combine like terms: 8z + -6z = 2z -36 + 15z = -4 + 2z Solving -36 + 15z = -4 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -36 + 15z + -2z = -4 + 2z + -2z Combine like terms: 15z + -2z = 13z -36 + 13z = -4 + 2z + -2z Combine like terms: 2z + -2z = 0 -36 + 13z = -4 + 0 -36 + 13z = -4 Add '36' to each side of the equation. -36 + 36 + 13z = -4 + 36 Combine like terms: -36 + 36 = 0 0 + 13z = -4 + 36 13z = -4 + 36 Combine like terms: -4 + 36 = 32 13z = 32 Divide each side by '13'. z = 2.461538462 Simplifying z = 2.461538462
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