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Simplifying 2(4z + -11) = 3(z + 2) Reorder the terms: 2(-11 + 4z) = 3(z + 2) (-11 * 2 + 4z * 2) = 3(z + 2) (-22 + 8z) = 3(z + 2) Reorder the terms: -22 + 8z = 3(2 + z) -22 + 8z = (2 * 3 + z * 3) -22 + 8z = (6 + 3z) Solving -22 + 8z = 6 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -22 + 8z + -3z = 6 + 3z + -3z Combine like terms: 8z + -3z = 5z -22 + 5z = 6 + 3z + -3z Combine like terms: 3z + -3z = 0 -22 + 5z = 6 + 0 -22 + 5z = 6 Add '22' to each side of the equation. -22 + 22 + 5z = 6 + 22 Combine like terms: -22 + 22 = 0 0 + 5z = 6 + 22 5z = 6 + 22 Combine like terms: 6 + 22 = 28 5z = 28 Divide each side by '5'. z = 5.6 Simplifying z = 5.6
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