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Simplifying 5(2z + -1) + -4(2 + 3) = 4(z + 1) Reorder the terms: 5(-1 + 2z) + -4(2 + 3) = 4(z + 1) (-1 * 5 + 2z * 5) + -4(2 + 3) = 4(z + 1) (-5 + 10z) + -4(2 + 3) = 4(z + 1) Combine like terms: 2 + 3 = 5 -5 + 10z + -4(5) = 4(z + 1) Multiply -4 * 5 -5 + 10z + -20 = 4(z + 1) Reorder the terms: -5 + -20 + 10z = 4(z + 1) Combine like terms: -5 + -20 = -25 -25 + 10z = 4(z + 1) Reorder the terms: -25 + 10z = 4(1 + z) -25 + 10z = (1 * 4 + z * 4) -25 + 10z = (4 + 4z) Solving -25 + 10z = 4 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -25 + 10z + -4z = 4 + 4z + -4z Combine like terms: 10z + -4z = 6z -25 + 6z = 4 + 4z + -4z Combine like terms: 4z + -4z = 0 -25 + 6z = 4 + 0 -25 + 6z = 4 Add '25' to each side of the equation. -25 + 25 + 6z = 4 + 25 Combine like terms: -25 + 25 = 0 0 + 6z = 4 + 25 6z = 4 + 25 Combine like terms: 4 + 25 = 29 6z = 29 Divide each side by '6'. z = 4.833333333 Simplifying z = 4.833333333
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