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Simplifying 5(z + -4) + -1z = 4 + -20z Reorder the terms: 5(-4 + z) + -1z = 4 + -20z (-4 * 5 + z * 5) + -1z = 4 + -20z (-20 + 5z) + -1z = 4 + -20z Combine like terms: 5z + -1z = 4z -20 + 4z = 4 + -20z Solving -20 + 4z = 4 + -20z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '20z' to each side of the equation. -20 + 4z + 20z = 4 + -20z + 20z Combine like terms: 4z + 20z = 24z -20 + 24z = 4 + -20z + 20z Combine like terms: -20z + 20z = 0 -20 + 24z = 4 + 0 -20 + 24z = 4 Add '20' to each side of the equation. -20 + 20 + 24z = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 24z = 4 + 20 24z = 4 + 20 Combine like terms: 4 + 20 = 24 24z = 24 Divide each side by '24'. z = 1 Simplifying z = 1
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