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Simplifying 4(z + -1) + 1 = 21 Reorder the terms: 4(-1 + z) + 1 = 21 (-1 * 4 + z * 4) + 1 = 21 (-4 + 4z) + 1 = 21 Reorder the terms: -4 + 1 + 4z = 21 Combine like terms: -4 + 1 = -3 -3 + 4z = 21 Solving -3 + 4z = 21 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 4z = 21 + 3 Combine like terms: -3 + 3 = 0 0 + 4z = 21 + 3 4z = 21 + 3 Combine like terms: 21 + 3 = 24 4z = 24 Divide each side by '4'. z = 6 Simplifying z = 6
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