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Simplifying 10z + (-7z + -13) = 10 + 29z + -11 Reorder the terms: 10z + (-13 + -7z) = 10 + 29z + -11 Remove parenthesis around (-13 + -7z) 10z + -13 + -7z = 10 + 29z + -11 Reorder the terms: -13 + 10z + -7z = 10 + 29z + -11 Combine like terms: 10z + -7z = 3z -13 + 3z = 10 + 29z + -11 Reorder the terms: -13 + 3z = 10 + -11 + 29z Combine like terms: 10 + -11 = -1 -13 + 3z = -1 + 29z Solving -13 + 3z = -1 + 29z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-29z' to each side of the equation. -13 + 3z + -29z = -1 + 29z + -29z Combine like terms: 3z + -29z = -26z -13 + -26z = -1 + 29z + -29z Combine like terms: 29z + -29z = 0 -13 + -26z = -1 + 0 -13 + -26z = -1 Add '13' to each side of the equation. -13 + 13 + -26z = -1 + 13 Combine like terms: -13 + 13 = 0 0 + -26z = -1 + 13 -26z = -1 + 13 Combine like terms: -1 + 13 = 12 -26z = 12 Divide each side by '-26'. z = -0.4615384615 Simplifying z = -0.4615384615
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