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Simplifying (5z + -9) + -1(8z + 13) = 0 Reorder the terms: (-9 + 5z) + -1(8z + 13) = 0 Remove parenthesis around (-9 + 5z) -9 + 5z + -1(8z + 13) = 0 Reorder the terms: -9 + 5z + -1(13 + 8z) = 0 -9 + 5z + (13 * -1 + 8z * -1) = 0 -9 + 5z + (-13 + -8z) = 0 Reorder the terms: -9 + -13 + 5z + -8z = 0 Combine like terms: -9 + -13 = -22 -22 + 5z + -8z = 0 Combine like terms: 5z + -8z = -3z -22 + -3z = 0 Solving -22 + -3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -3z = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -3z = 0 + 22 -3z = 0 + 22 Combine like terms: 0 + 22 = 22 -3z = 22 Divide each side by '-3'. z = -7.333333333 Simplifying z = -7.333333333
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