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Simplifying 4z + -4 + 7(z + 1) = 6z + 7 Reorder the terms: 4z + -4 + 7(1 + z) = 6z + 7 4z + -4 + (1 * 7 + z * 7) = 6z + 7 4z + -4 + (7 + 7z) = 6z + 7 Reorder the terms: -4 + 7 + 4z + 7z = 6z + 7 Combine like terms: -4 + 7 = 3 3 + 4z + 7z = 6z + 7 Combine like terms: 4z + 7z = 11z 3 + 11z = 6z + 7 Reorder the terms: 3 + 11z = 7 + 6z Solving 3 + 11z = 7 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 3 + 11z + -6z = 7 + 6z + -6z Combine like terms: 11z + -6z = 5z 3 + 5z = 7 + 6z + -6z Combine like terms: 6z + -6z = 0 3 + 5z = 7 + 0 3 + 5z = 7 Add '-3' to each side of the equation. 3 + -3 + 5z = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 5z = 7 + -3 5z = 7 + -3 Combine like terms: 7 + -3 = 4 5z = 4 Divide each side by '5'. z = 0.8 Simplifying z = 0.8
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