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Simplifying 10z + -31z + 59z + (-51z) + -1(-11) = -26 Multiply -1 * -11 10z + -31z + 59z + (-51z) + 11 = -26 Reorder the terms: 11 + 10z + -31z + 59z + (-51z) = -26 Combine like terms: 10z + -31z = -21z 11 + -21z + 59z + (-51z) = -26 Combine like terms: -21z + 59z = 38z 11 + 38z + (-51z) = -26 Combine like terms: 38z + (-51z) = -13z 11 + -13z = -26 Solving 11 + -13z = -26 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -13z = -26 + -11 Combine like terms: 11 + -11 = 0 0 + -13z = -26 + -11 -13z = -26 + -11 Combine like terms: -26 + -11 = -37 -13z = -37 Divide each side by '-13'. z = 2.846153846 Simplifying z = 2.846153846
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