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Simplifying -1(5 + -1(z + 1)) = 9 + -1(5 + -1(2z + -3)) Reorder the terms: -1(5 + -1(1 + z)) = 9 + -1(5 + -1(2z + -3)) -1(5 + (1 * -1 + z * -1)) = 9 + -1(5 + -1(2z + -3)) -1(5 + (-1 + -1z)) = 9 + -1(5 + -1(2z + -3)) Combine like terms: 5 + -1 = 4 -1(4 + -1z) = 9 + -1(5 + -1(2z + -3)) (4 * -1 + -1z * -1) = 9 + -1(5 + -1(2z + -3)) (-4 + 1z) = 9 + -1(5 + -1(2z + -3)) Reorder the terms: -4 + 1z = 9 + -1(5 + -1(-3 + 2z)) -4 + 1z = 9 + -1(5 + (-3 * -1 + 2z * -1)) -4 + 1z = 9 + -1(5 + (3 + -2z)) Combine like terms: 5 + 3 = 8 -4 + 1z = 9 + -1(8 + -2z) -4 + 1z = 9 + (8 * -1 + -2z * -1) -4 + 1z = 9 + (-8 + 2z) Combine like terms: 9 + -8 = 1 -4 + 1z = 1 + 2z Solving -4 + 1z = 1 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -4 + 1z + -2z = 1 + 2z + -2z Combine like terms: 1z + -2z = -1z -4 + -1z = 1 + 2z + -2z Combine like terms: 2z + -2z = 0 -4 + -1z = 1 + 0 -4 + -1z = 1 Add '4' to each side of the equation. -4 + 4 + -1z = 1 + 4 Combine like terms: -4 + 4 = 0 0 + -1z = 1 + 4 -1z = 1 + 4 Combine like terms: 1 + 4 = 5 -1z = 5 Divide each side by '-1'. z = -5 Simplifying z = -5
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