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Simplifying 5(4z + -1) + -4(z + 5) = 6(z + 1) Reorder the terms: 5(-1 + 4z) + -4(z + 5) = 6(z + 1) (-1 * 5 + 4z * 5) + -4(z + 5) = 6(z + 1) (-5 + 20z) + -4(z + 5) = 6(z + 1) Reorder the terms: -5 + 20z + -4(5 + z) = 6(z + 1) -5 + 20z + (5 * -4 + z * -4) = 6(z + 1) -5 + 20z + (-20 + -4z) = 6(z + 1) Reorder the terms: -5 + -20 + 20z + -4z = 6(z + 1) Combine like terms: -5 + -20 = -25 -25 + 20z + -4z = 6(z + 1) Combine like terms: 20z + -4z = 16z -25 + 16z = 6(z + 1) Reorder the terms: -25 + 16z = 6(1 + z) -25 + 16z = (1 * 6 + z * 6) -25 + 16z = (6 + 6z) Solving -25 + 16z = 6 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -25 + 16z + -6z = 6 + 6z + -6z Combine like terms: 16z + -6z = 10z -25 + 10z = 6 + 6z + -6z Combine like terms: 6z + -6z = 0 -25 + 10z = 6 + 0 -25 + 10z = 6 Add '25' to each side of the equation. -25 + 25 + 10z = 6 + 25 Combine like terms: -25 + 25 = 0 0 + 10z = 6 + 25 10z = 6 + 25 Combine like terms: 6 + 25 = 31 10z = 31 Divide each side by '10'. z = 3.1 Simplifying z = 3.1
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