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Simplifying 3(z + 2) + -2z = -1(5 + z) Reorder the terms: 3(2 + z) + -2z = -1(5 + z) (2 * 3 + z * 3) + -2z = -1(5 + z) (6 + 3z) + -2z = -1(5 + z) Combine like terms: 3z + -2z = 1z 6 + 1z = -1(5 + z) 6 + 1z = (5 * -1 + z * -1) 6 + 1z = (-5 + -1z) Solving 6 + 1z = -5 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 6 + 1z + z = -5 + -1z + z Combine like terms: 1z + z = 2z 6 + 2z = -5 + -1z + z Combine like terms: -1z + z = 0 6 + 2z = -5 + 0 6 + 2z = -5 Add '-6' to each side of the equation. 6 + -6 + 2z = -5 + -6 Combine like terms: 6 + -6 = 0 0 + 2z = -5 + -6 2z = -5 + -6 Combine like terms: -5 + -6 = -11 2z = -11 Divide each side by '2'. z = -5.5 Simplifying z = -5.5
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