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Simplifying 5[z + 6] + -2 = 9z Reorder the terms: 5[6 + z] + -2 = 9z [6 * 5 + z * 5] + -2 = 9z [30 + 5z] + -2 = 9z Reorder the terms: 30 + -2 + 5z = 9z Combine like terms: 30 + -2 = 28 28 + 5z = 9z Solving 28 + 5z = 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 28 + 5z + -9z = 9z + -9z Combine like terms: 5z + -9z = -4z 28 + -4z = 9z + -9z Combine like terms: 9z + -9z = 0 28 + -4z = 0 Add '-28' to each side of the equation. 28 + -28 + -4z = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -4z = 0 + -28 -4z = 0 + -28 Combine like terms: 0 + -28 = -28 -4z = -28 Divide each side by '-4'. z = 7 Simplifying z = 7
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