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Simplifying (4z + -13) + (9 + -9z) = 0 Reorder the terms: (-13 + 4z) + (9 + -9z) = 0 Remove parenthesis around (-13 + 4z) -13 + 4z + (9 + -9z) = 0 Remove parenthesis around (9 + -9z) -13 + 4z + 9 + -9z = 0 Reorder the terms: -13 + 9 + 4z + -9z = 0 Combine like terms: -13 + 9 = -4 -4 + 4z + -9z = 0 Combine like terms: 4z + -9z = -5z -4 + -5z = 0 Solving -4 + -5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5z = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5z = 0 + 4 -5z = 0 + 4 Combine like terms: 0 + 4 = 4 -5z = 4 Divide each side by '-5'. z = -0.8 Simplifying z = -0.8
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