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Simplifying 5(z + -4) + -2 = 4z + -20 Reorder the terms: 5(-4 + z) + -2 = 4z + -20 (-4 * 5 + z * 5) + -2 = 4z + -20 (-20 + 5z) + -2 = 4z + -20 Reorder the terms: -20 + -2 + 5z = 4z + -20 Combine like terms: -20 + -2 = -22 -22 + 5z = 4z + -20 Reorder the terms: -22 + 5z = -20 + 4z Solving -22 + 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. -22 + 5z + -4z = -20 + 4z + -4z Combine like terms: 5z + -4z = 1z -22 + 1z = -20 + 4z + -4z Combine like terms: 4z + -4z = 0 -22 + 1z = -20 + 0 -22 + 1z = -20 Add '22' to each side of the equation. -22 + 22 + 1z = -20 + 22 Combine like terms: -22 + 22 = 0 0 + 1z = -20 + 22 1z = -20 + 22 Combine like terms: -20 + 22 = 2 1z = 2 Divide each side by '1'. z = 2 Simplifying z = 2
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