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Simplifying -5 + 9z + -7 = -1 + -2z Reorder the terms: -5 + -7 + 9z = -1 + -2z Combine like terms: -5 + -7 = -12 -12 + 9z = -1 + -2z Solving -12 + 9z = -1 + -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. -12 + 9z + 2z = -1 + -2z + 2z Combine like terms: 9z + 2z = 11z -12 + 11z = -1 + -2z + 2z Combine like terms: -2z + 2z = 0 -12 + 11z = -1 + 0 -12 + 11z = -1 Add '12' to each side of the equation. -12 + 12 + 11z = -1 + 12 Combine like terms: -12 + 12 = 0 0 + 11z = -1 + 12 11z = -1 + 12 Combine like terms: -1 + 12 = 11 11z = 11 Divide each side by '11'. z = 1 Simplifying z = 1
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