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Simplifying -6z + -1 = 2z + -9 Reorder the terms: -1 + -6z = 2z + -9 Reorder the terms: -1 + -6z = -9 + 2z Solving -1 + -6z = -9 + 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. -1 + -6z + -2z = -9 + 2z + -2z Combine like terms: -6z + -2z = -8z -1 + -8z = -9 + 2z + -2z Combine like terms: 2z + -2z = 0 -1 + -8z = -9 + 0 -1 + -8z = -9 Add '1' to each side of the equation. -1 + 1 + -8z = -9 + 1 Combine like terms: -1 + 1 = 0 0 + -8z = -9 + 1 -8z = -9 + 1 Combine like terms: -9 + 1 = -8 -8z = -8 Divide each side by '-8'. z = 1 Simplifying z = 1
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