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Simplifying 3z + (7 + z) = -11 + -2z Remove parenthesis around (7 + z) 3z + 7 + z = -11 + -2z Reorder the terms: 7 + 3z + z = -11 + -2z Combine like terms: 3z + z = 4z 7 + 4z = -11 + -2z Solving 7 + 4z = -11 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 7 + 4z + 2z = -11 + -2z + 2z Combine like terms: 4z + 2z = 6z 7 + 6z = -11 + -2z + 2z Combine like terms: -2z + 2z = 0 7 + 6z = -11 + 0 7 + 6z = -11 Add '-7' to each side of the equation. 7 + -7 + 6z = -11 + -7 Combine like terms: 7 + -7 = 0 0 + 6z = -11 + -7 6z = -11 + -7 Combine like terms: -11 + -7 = -18 6z = -18 Divide each side by '6'. z = -3 Simplifying z = -3
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