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Simplifying 6(z + 7) + -9 = 27 Reorder the terms: 6(7 + z) + -9 = 27 (7 * 6 + z * 6) + -9 = 27 (42 + 6z) + -9 = 27 Reorder the terms: 42 + -9 + 6z = 27 Combine like terms: 42 + -9 = 33 33 + 6z = 27 Solving 33 + 6z = 27 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 6z = 27 + -33 Combine like terms: 33 + -33 = 0 0 + 6z = 27 + -33 6z = 27 + -33 Combine like terms: 27 + -33 = -6 6z = -6 Divide each side by '6'. z = -1 Simplifying z = -1
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