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Simplifying 4z + -7 = 11 + -2z Reorder the terms: -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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