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Simplifying (13z + -5) + -1(4z + 8) = 0 Reorder the terms: (-5 + 13z) + -1(4z + 8) = 0 Remove parenthesis around (-5 + 13z) -5 + 13z + -1(4z + 8) = 0 Reorder the terms: -5 + 13z + -1(8 + 4z) = 0 -5 + 13z + (8 * -1 + 4z * -1) = 0 -5 + 13z + (-8 + -4z) = 0 Reorder the terms: -5 + -8 + 13z + -4z = 0 Combine like terms: -5 + -8 = -13 -13 + 13z + -4z = 0 Combine like terms: 13z + -4z = 9z -13 + 9z = 0 Solving -13 + 9z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 9z = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 9z = 0 + 13 9z = 0 + 13 Combine like terms: 0 + 13 = 13 9z = 13 Divide each side by '9'. z = 1.444444444 Simplifying z = 1.444444444
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