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Simplifying -26z + -13z + 10 + -38z = -36 + 26z + 20z + 18z Reorder the terms: 10 + -26z + -13z + -38z = -36 + 26z + 20z + 18z Combine like terms: -26z + -13z = -39z 10 + -39z + -38z = -36 + 26z + 20z + 18z Combine like terms: -39z + -38z = -77z 10 + -77z = -36 + 26z + 20z + 18z Combine like terms: 26z + 20z = 46z 10 + -77z = -36 + 46z + 18z Combine like terms: 46z + 18z = 64z 10 + -77z = -36 + 64z Solving 10 + -77z = -36 + 64z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-64z' to each side of the equation. 10 + -77z + -64z = -36 + 64z + -64z Combine like terms: -77z + -64z = -141z 10 + -141z = -36 + 64z + -64z Combine like terms: 64z + -64z = 0 10 + -141z = -36 + 0 10 + -141z = -36 Add '-10' to each side of the equation. 10 + -10 + -141z = -36 + -10 Combine like terms: 10 + -10 = 0 0 + -141z = -36 + -10 -141z = -36 + -10 Combine like terms: -36 + -10 = -46 -141z = -46 Divide each side by '-141'. z = 0.3262411348 Simplifying z = 0.3262411348
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