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Simplifying 5(4z + -1) + -2(z + 1) = 9(Z + 1) Reorder the terms: 5(-1 + 4z) + -2(z + 1) = 9(Z + 1) (-1 * 5 + 4z * 5) + -2(z + 1) = 9(Z + 1) (-5 + 20z) + -2(z + 1) = 9(Z + 1) Reorder the terms: -5 + 20z + -2(1 + z) = 9(Z + 1) -5 + 20z + (1 * -2 + z * -2) = 9(Z + 1) -5 + 20z + (-2 + -2z) = 9(Z + 1) Reorder the terms: -5 + -2 + 20z + -2z = 9(Z + 1) Combine like terms: -5 + -2 = -7 -7 + 20z + -2z = 9(Z + 1) Combine like terms: 20z + -2z = 18z -7 + 18z = 9(Z + 1) Reorder the terms: -7 + 18z = 9(1 + Z) -7 + 18z = (1 * 9 + Z * 9) -7 + 18z = (9 + 9Z) Solving -7 + 18z = 9 + 9Z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 18z = 9 + 7 + 9Z Combine like terms: -7 + 7 = 0 0 + 18z = 9 + 7 + 9Z 18z = 9 + 7 + 9Z Combine like terms: 9 + 7 = 16 18z = 16 + 9Z Divide each side by '18'. z = 0.8888888889 + 0.5Z Simplifying z = 0.8888888889 + 0.5Z
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