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Simplifying -9z + 7 + -4z + 8 + -2z + 10 = 0 Reorder the terms: 7 + 8 + 10 + -9z + -4z + -2z = 0 Combine like terms: 7 + 8 = 15 15 + 10 + -9z + -4z + -2z = 0 Combine like terms: 15 + 10 = 25 25 + -9z + -4z + -2z = 0 Combine like terms: -9z + -4z = -13z 25 + -13z + -2z = 0 Combine like terms: -13z + -2z = -15z 25 + -15z = 0 Solving 25 + -15z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -15z = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -15z = 0 + -25 -15z = 0 + -25 Combine like terms: 0 + -25 = -25 -15z = -25 Divide each side by '-15'. z = 1.666666667 Simplifying z = 1.666666667
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