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Simplifying 5(z + -4) + -4 = 4z + -20 Reorder the terms: 5(-4 + z) + -4 = 4z + -20 (-4 * 5 + z * 5) + -4 = 4z + -20 (-20 + 5z) + -4 = 4z + -20 Reorder the terms: -20 + -4 + 5z = 4z + -20 Combine like terms: -20 + -4 = -24 -24 + 5z = 4z + -20 Reorder the terms: -24 + 5z = -20 + 4z Solving -24 + 5z = -20 + 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. -24 + 5z + -4z = -20 + 4z + -4z Combine like terms: 5z + -4z = 1z -24 + 1z = -20 + 4z + -4z Combine like terms: 4z + -4z = 0 -24 + 1z = -20 + 0 -24 + 1z = -20 Add '24' to each side of the equation. -24 + 24 + 1z = -20 + 24 Combine like terms: -24 + 24 = 0 0 + 1z = -20 + 24 1z = -20 + 24 Combine like terms: -20 + 24 = 4 1z = 4 Divide each side by '1'. z = 4 Simplifying z = 4
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