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Simplifying 2(4z + -1) = 3(2 + 2) Reorder the terms: 2(-1 + 4z) = 3(2 + 2) (-1 * 2 + 4z * 2) = 3(2 + 2) (-2 + 8z) = 3(2 + 2) Combine like terms: 2 + 2 = 4 -2 + 8z = 3(4) Multiply 3 * 4 -2 + 8z = 12 Solving -2 + 8z = 12 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 = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 8z = 12 + 2 8z = 12 + 2 Combine like terms: 12 + 2 = 14 8z = 14 Divide each side by '8'. z = 1.75 Simplifying z = 1.75
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