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Simplifying -6z + -27 = 3(3x + 6) Reorder the terms: -27 + -6z = 3(3x + 6) Reorder the terms: -27 + -6z = 3(6 + 3x) -27 + -6z = (6 * 3 + 3x * 3) -27 + -6z = (18 + 9x) Solving -27 + -6z = 18 + 9x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -6z = 18 + 27 + 9x Combine like terms: -27 + 27 = 0 0 + -6z = 18 + 27 + 9x -6z = 18 + 27 + 9x Combine like terms: 18 + 27 = 45 -6z = 45 + 9x Divide each side by '-6'. z = -7.5 + -1.5x Simplifying z = -7.5 + -1.5x
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