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Simplifying (-8z + 7) + (-1z + -8) = 0 Reorder the terms: (7 + -8z) + (-1z + -8) = 0 Remove parenthesis around (7 + -8z) 7 + -8z + (-1z + -8) = 0 Reorder the terms: 7 + -8z + (-8 + -1z) = 0 Remove parenthesis around (-8 + -1z) 7 + -8z + -8 + -1z = 0 Reorder the terms: 7 + -8 + -8z + -1z = 0 Combine like terms: 7 + -8 = -1 -1 + -8z + -1z = 0 Combine like terms: -8z + -1z = -9z -1 + -9z = 0 Solving -1 + -9z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -9z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -9z = 0 + 1 -9z = 0 + 1 Combine like terms: 0 + 1 = 1 -9z = 1 Divide each side by '-9'. z = -0.1111111111 Simplifying z = -0.1111111111
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