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Simplifying -6z + -7z = 5z + -7 + -3z Combine like terms: -6z + -7z = -13z -13z = 5z + -7 + -3z Reorder the terms: -13z = -7 + 5z + -3z Combine like terms: 5z + -3z = 2z -13z = -7 + 2z Solving -13z = -7 + 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. -13z + -2z = -7 + 2z + -2z Combine like terms: -13z + -2z = -15z -15z = -7 + 2z + -2z Combine like terms: 2z + -2z = 0 -15z = -7 + 0 -15z = -7 Divide each side by '-15'. z = 0.4666666667 Simplifying z = 0.4666666667
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