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Simplifying 11 + 9(8z + 16) = -6z + 5 + -19(4z + -9) + 11(5z + -10) Reorder the terms: 11 + 9(16 + 8z) = -6z + 5 + -19(4z + -9) + 11(5z + -10) 11 + (16 * 9 + 8z * 9) = -6z + 5 + -19(4z + -9) + 11(5z + -10) 11 + (144 + 72z) = -6z + 5 + -19(4z + -9) + 11(5z + -10) Combine like terms: 11 + 144 = 155 155 + 72z = -6z + 5 + -19(4z + -9) + 11(5z + -10) Reorder the terms: 155 + 72z = -6z + 5 + -19(-9 + 4z) + 11(5z + -10) 155 + 72z = -6z + 5 + (-9 * -19 + 4z * -19) + 11(5z + -10) 155 + 72z = -6z + 5 + (171 + -76z) + 11(5z + -10) Reorder the terms: 155 + 72z = -6z + 5 + 171 + -76z + 11(-10 + 5z) 155 + 72z = -6z + 5 + 171 + -76z + (-10 * 11 + 5z * 11) 155 + 72z = -6z + 5 + 171 + -76z + (-110 + 55z) Reorder the terms: 155 + 72z = 5 + 171 + -110 + -6z + -76z + 55z Combine like terms: 5 + 171 = 176 155 + 72z = 176 + -110 + -6z + -76z + 55z Combine like terms: 176 + -110 = 66 155 + 72z = 66 + -6z + -76z + 55z Combine like terms: -6z + -76z = -82z 155 + 72z = 66 + -82z + 55z Combine like terms: -82z + 55z = -27z 155 + 72z = 66 + -27z Solving 155 + 72z = 66 + -27z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '27z' to each side of the equation. 155 + 72z + 27z = 66 + -27z + 27z Combine like terms: 72z + 27z = 99z 155 + 99z = 66 + -27z + 27z Combine like terms: -27z + 27z = 0 155 + 99z = 66 + 0 155 + 99z = 66 Add '-155' to each side of the equation. 155 + -155 + 99z = 66 + -155 Combine like terms: 155 + -155 = 0 0 + 99z = 66 + -155 99z = 66 + -155 Combine like terms: 66 + -155 = -89 99z = -89 Divide each side by '99'. z = -0.898989899 Simplifying z = -0.898989899
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