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Simplifying -1[2z + -1(12 + 1)] = 1 + (9z + 4) Combine like terms: 12 + 1 = 13 -1[2z + -1(13)] = 1 + (9z + 4) Multiply -1 * 13 -1[2z + -13] = 1 + (9z + 4) Reorder the terms: -1[-13 + 2z] = 1 + (9z + 4) [-13 * -1 + 2z * -1] = 1 + (9z + 4) [13 + -2z] = 1 + (9z + 4) Reorder the terms: 13 + -2z = 1 + (4 + 9z) Remove parenthesis around (4 + 9z) 13 + -2z = 1 + 4 + 9z Combine like terms: 1 + 4 = 5 13 + -2z = 5 + 9z Solving 13 + -2z = 5 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 13 + -2z + -9z = 5 + 9z + -9z Combine like terms: -2z + -9z = -11z 13 + -11z = 5 + 9z + -9z Combine like terms: 9z + -9z = 0 13 + -11z = 5 + 0 13 + -11z = 5 Add '-13' to each side of the equation. 13 + -13 + -11z = 5 + -13 Combine like terms: 13 + -13 = 0 0 + -11z = 5 + -13 -11z = 5 + -13 Combine like terms: 5 + -13 = -8 -11z = -8 Divide each side by '-11'. z = 0.7272727273 Simplifying z = 0.7272727273
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