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Simplifying (13z + 20) + -1(4z + 8) = 0 Reorder the terms: (20 + 13z) + -1(4z + 8) = 0 Remove parenthesis around (20 + 13z) 20 + 13z + -1(4z + 8) = 0 Reorder the terms: 20 + 13z + -1(8 + 4z) = 0 20 + 13z + (8 * -1 + 4z * -1) = 0 20 + 13z + (-8 + -4z) = 0 Reorder the terms: 20 + -8 + 13z + -4z = 0 Combine like terms: 20 + -8 = 12 12 + 13z + -4z = 0 Combine like terms: 13z + -4z = 9z 12 + 9z = 0 Solving 12 + 9z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 9z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 9z = 0 + -12 9z = 0 + -12 Combine like terms: 0 + -12 = -12 9z = -12 Divide each side by '9'. z = -1.333333333 Simplifying z = -1.333333333
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