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Simplifying 14 + 7(z + 2) = 6z + 1 Reorder the terms: 14 + 7(2 + z) = 6z + 1 14 + (2 * 7 + z * 7) = 6z + 1 14 + (14 + 7z) = 6z + 1 Combine like terms: 14 + 14 = 28 28 + 7z = 6z + 1 Reorder the terms: 28 + 7z = 1 + 6z Solving 28 + 7z = 1 + 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. 28 + 7z + -6z = 1 + 6z + -6z Combine like terms: 7z + -6z = 1z 28 + 1z = 1 + 6z + -6z Combine like terms: 6z + -6z = 0 28 + 1z = 1 + 0 28 + 1z = 1 Add '-28' to each side of the equation. 28 + -28 + 1z = 1 + -28 Combine like terms: 28 + -28 = 0 0 + 1z = 1 + -28 1z = 1 + -28 Combine like terms: 1 + -28 = -27 1z = -27 Divide each side by '1'. z = -27 Simplifying z = -27
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