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Simplifying -9(4z + 20) = 4 + -13z Reorder the terms: -9(20 + 4z) = 4 + -13z (20 * -9 + 4z * -9) = 4 + -13z (-180 + -36z) = 4 + -13z Solving -180 + -36z = 4 + -13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '13z' to each side of the equation. -180 + -36z + 13z = 4 + -13z + 13z Combine like terms: -36z + 13z = -23z -180 + -23z = 4 + -13z + 13z Combine like terms: -13z + 13z = 0 -180 + -23z = 4 + 0 -180 + -23z = 4 Add '180' to each side of the equation. -180 + 180 + -23z = 4 + 180 Combine like terms: -180 + 180 = 0 0 + -23z = 4 + 180 -23z = 4 + 180 Combine like terms: 4 + 180 = 184 -23z = 184 Divide each side by '-23'. z = -8 Simplifying z = -8
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