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Simplifying 9z + -7z + -1 = -15 + -6z + 7 Reorder the terms: -1 + 9z + -7z = -15 + -6z + 7 Combine like terms: 9z + -7z = 2z -1 + 2z = -15 + -6z + 7 Reorder the terms: -1 + 2z = -15 + 7 + -6z Combine like terms: -15 + 7 = -8 -1 + 2z = -8 + -6z Solving -1 + 2z = -8 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. -1 + 2z + 6z = -8 + -6z + 6z Combine like terms: 2z + 6z = 8z -1 + 8z = -8 + -6z + 6z Combine like terms: -6z + 6z = 0 -1 + 8z = -8 + 0 -1 + 8z = -8 Add '1' to each side of the equation. -1 + 1 + 8z = -8 + 1 Combine like terms: -1 + 1 = 0 0 + 8z = -8 + 1 8z = -8 + 1 Combine like terms: -8 + 1 = -7 8z = -7 Divide each side by '8'. z = -0.875 Simplifying z = -0.875
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