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Simplifying -1(5 + -1(z + 1)) = 9 + -5(-1(2z + -3)) Reorder the terms: -1(5 + -1(1 + z)) = 9 + -5(-1(2z + -3)) -1(5 + (1 * -1 + z * -1)) = 9 + -5(-1(2z + -3)) -1(5 + (-1 + -1z)) = 9 + -5(-1(2z + -3)) Combine like terms: 5 + -1 = 4 -1(4 + -1z) = 9 + -5(-1(2z + -3)) (4 * -1 + -1z * -1) = 9 + -5(-1(2z + -3)) (-4 + 1z) = 9 + -5(-1(2z + -3)) Reorder the terms: -4 + 1z = 9 + -5(-1(-3 + 2z)) -4 + 1z = 9 + -5((-3 * -1 + 2z * -1)) -4 + 1z = 9 + -5((3 + -2z)) -4 + 1z = 9 + (3 * -5 + -2z * -5) -4 + 1z = 9 + (-15 + 10z) Combine like terms: 9 + -15 = -6 -4 + 1z = -6 + 10z Solving -4 + 1z = -6 + 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. -4 + 1z + -10z = -6 + 10z + -10z Combine like terms: 1z + -10z = -9z -4 + -9z = -6 + 10z + -10z Combine like terms: 10z + -10z = 0 -4 + -9z = -6 + 0 -4 + -9z = -6 Add '4' to each side of the equation. -4 + 4 + -9z = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -9z = -6 + 4 -9z = -6 + 4 Combine like terms: -6 + 4 = -2 -9z = -2 Divide each side by '-9'. z = 0.2222222222 Simplifying z = 0.2222222222
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