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Simplifying 5(z + -4) + 4z = 5 + -6z Reorder the terms: 5(-4 + z) + 4z = 5 + -6z (-4 * 5 + z * 5) + 4z = 5 + -6z (-20 + 5z) + 4z = 5 + -6z Combine like terms: 5z + 4z = 9z -20 + 9z = 5 + -6z Solving -20 + 9z = 5 + -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. -20 + 9z + 6z = 5 + -6z + 6z Combine like terms: 9z + 6z = 15z -20 + 15z = 5 + -6z + 6z Combine like terms: -6z + 6z = 0 -20 + 15z = 5 + 0 -20 + 15z = 5 Add '20' to each side of the equation. -20 + 20 + 15z = 5 + 20 Combine like terms: -20 + 20 = 0 0 + 15z = 5 + 20 15z = 5 + 20 Combine like terms: 5 + 20 = 25 15z = 25 Divide each side by '15'. z = 1.666666667 Simplifying z = 1.666666667
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