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Simplifying 2(4z + -3) + 4 = 22 Reorder the terms: 2(-3 + 4z) + 4 = 22 (-3 * 2 + 4z * 2) + 4 = 22 (-6 + 8z) + 4 = 22 Reorder the terms: -6 + 4 + 8z = 22 Combine like terms: -6 + 4 = -2 -2 + 8z = 22 Solving -2 + 8z = 22 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 8z = 22 + 2 Combine like terms: -2 + 2 = 0 0 + 8z = 22 + 2 8z = 22 + 2 Combine like terms: 22 + 2 = 24 8z = 24 Divide each side by '8'. z = 3 Simplifying z = 3
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