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Simplifying 4z + -7(2 + -1z) = 3z + 2 4z + (2 * -7 + -1z * -7) = 3z + 2 4z + (-14 + 7z) = 3z + 2 Reorder the terms: -14 + 4z + 7z = 3z + 2 Combine like terms: 4z + 7z = 11z -14 + 11z = 3z + 2 Reorder the terms: -14 + 11z = 2 + 3z Solving -14 + 11z = 2 + 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. -14 + 11z + -3z = 2 + 3z + -3z Combine like terms: 11z + -3z = 8z -14 + 8z = 2 + 3z + -3z Combine like terms: 3z + -3z = 0 -14 + 8z = 2 + 0 -14 + 8z = 2 Add '14' to each side of the equation. -14 + 14 + 8z = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 8z = 2 + 14 8z = 2 + 14 Combine like terms: 2 + 14 = 16 8z = 16 Divide each side by '8'. z = 2 Simplifying z = 2
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