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Simplifying -5z + -1(16z + 9) = 9 + (10z + 5) Reorder the terms: -5z + -1(9 + 16z) = 9 + (10z + 5) -5z + (9 * -1 + 16z * -1) = 9 + (10z + 5) -5z + (-9 + -16z) = 9 + (10z + 5) Reorder the terms: -9 + -5z + -16z = 9 + (10z + 5) Combine like terms: -5z + -16z = -21z -9 + -21z = 9 + (10z + 5) Reorder the terms: -9 + -21z = 9 + (5 + 10z) Remove parenthesis around (5 + 10z) -9 + -21z = 9 + 5 + 10z Combine like terms: 9 + 5 = 14 -9 + -21z = 14 + 10z Solving -9 + -21z = 14 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. -9 + -21z + -10z = 14 + 10z + -10z Combine like terms: -21z + -10z = -31z -9 + -31z = 14 + 10z + -10z Combine like terms: 10z + -10z = 0 -9 + -31z = 14 + 0 -9 + -31z = 14 Add '9' to each side of the equation. -9 + 9 + -31z = 14 + 9 Combine like terms: -9 + 9 = 0 0 + -31z = 14 + 9 -31z = 14 + 9 Combine like terms: 14 + 9 = 23 -31z = 23 Divide each side by '-31'. z = -0.7419354839 Simplifying z = -0.7419354839
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