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Simplifying 6(z + -3) + -5z = 9 Reorder the terms: 6(-3 + z) + -5z = 9 (-3 * 6 + z * 6) + -5z = 9 (-18 + 6z) + -5z = 9 Combine like terms: 6z + -5z = 1z -18 + 1z = 9 Solving -18 + 1z = 9 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 1z = 9 + 18 Combine like terms: -18 + 18 = 0 0 + 1z = 9 + 18 1z = 9 + 18 Combine like terms: 9 + 18 = 27 1z = 27 Divide each side by '1'. z = 27 Simplifying z = 27
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