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Simplifying 5z + -7z = 9z + 7 + 4z Combine like terms: 5z + -7z = -2z -2z = 9z + 7 + 4z Reorder the terms: -2z = 7 + 9z + 4z Combine like terms: 9z + 4z = 13z -2z = 7 + 13z Solving -2z = 7 + 13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13z' to each side of the equation. -2z + -13z = 7 + 13z + -13z Combine like terms: -2z + -13z = -15z -15z = 7 + 13z + -13z Combine like terms: 13z + -13z = 0 -15z = 7 + 0 -15z = 7 Divide each side by '-15'. z = -0.4666666667 Simplifying z = -0.4666666667
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