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Simplifying -5(4z + -1) + -4(z + 9) = 2(z + 1) Reorder the terms: -5(-1 + 4z) + -4(z + 9) = 2(z + 1) (-1 * -5 + 4z * -5) + -4(z + 9) = 2(z + 1) (5 + -20z) + -4(z + 9) = 2(z + 1) Reorder the terms: 5 + -20z + -4(9 + z) = 2(z + 1) 5 + -20z + (9 * -4 + z * -4) = 2(z + 1) 5 + -20z + (-36 + -4z) = 2(z + 1) Reorder the terms: 5 + -36 + -20z + -4z = 2(z + 1) Combine like terms: 5 + -36 = -31 -31 + -20z + -4z = 2(z + 1) Combine like terms: -20z + -4z = -24z -31 + -24z = 2(z + 1) Reorder the terms: -31 + -24z = 2(1 + z) -31 + -24z = (1 * 2 + z * 2) -31 + -24z = (2 + 2z) Solving -31 + -24z = 2 + 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. -31 + -24z + -2z = 2 + 2z + -2z Combine like terms: -24z + -2z = -26z -31 + -26z = 2 + 2z + -2z Combine like terms: 2z + -2z = 0 -31 + -26z = 2 + 0 -31 + -26z = 2 Add '31' to each side of the equation. -31 + 31 + -26z = 2 + 31 Combine like terms: -31 + 31 = 0 0 + -26z = 2 + 31 -26z = 2 + 31 Combine like terms: 2 + 31 = 33 -26z = 33 Divide each side by '-26'. z = -1.269230769 Simplifying z = -1.269230769
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