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Simplifying 4(z + -11) = 3(z + 2) Reorder the terms: 4(-11 + z) = 3(z + 2) (-11 * 4 + z * 4) = 3(z + 2) (-44 + 4z) = 3(z + 2) Reorder the terms: -44 + 4z = 3(2 + z) -44 + 4z = (2 * 3 + z * 3) -44 + 4z = (6 + 3z) Solving -44 + 4z = 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. -44 + 4z + -3z = 6 + 3z + -3z Combine like terms: 4z + -3z = 1z -44 + 1z = 6 + 3z + -3z Combine like terms: 3z + -3z = 0 -44 + 1z = 6 + 0 -44 + 1z = 6 Add '44' to each side of the equation. -44 + 44 + 1z = 6 + 44 Combine like terms: -44 + 44 = 0 0 + 1z = 6 + 44 1z = 6 + 44 Combine like terms: 6 + 44 = 50 1z = 50 Divide each side by '1'. z = 50 Simplifying z = 50
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