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Simplifying (4z + 8) + -1(13z + 20) = 0 Reorder the terms: (8 + 4z) + -1(13z + 20) = 0 Remove parenthesis around (8 + 4z) 8 + 4z + -1(13z + 20) = 0 Reorder the terms: 8 + 4z + -1(20 + 13z) = 0 8 + 4z + (20 * -1 + 13z * -1) = 0 8 + 4z + (-20 + -13z) = 0 Reorder the terms: 8 + -20 + 4z + -13z = 0 Combine like terms: 8 + -20 = -12 -12 + 4z + -13z = 0 Combine like terms: 4z + -13z = -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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