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Simplifying 4z + -1(4 + -1z) + -5 = 21 4z + (4 * -1 + -1z * -1) + -5 = 21 4z + (-4 + 1z) + -5 = 21 Reorder the terms: -4 + -5 + 4z + 1z = 21 Combine like terms: -4 + -5 = -9 -9 + 4z + 1z = 21 Combine like terms: 4z + 1z = 5z -9 + 5z = 21 Solving -9 + 5z = 21 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 5z = 21 + 9 Combine like terms: -9 + 9 = 0 0 + 5z = 21 + 9 5z = 21 + 9 Combine like terms: 21 + 9 = 30 5z = 30 Divide each side by '5'. z = 6 Simplifying z = 6
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