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Simplifying 5(z + 2) + -2 = 9z Reorder the terms: 5(2 + z) + -2 = 9z (2 * 5 + z * 5) + -2 = 9z (10 + 5z) + -2 = 9z Reorder the terms: 10 + -2 + 5z = 9z Combine like terms: 10 + -2 = 8 8 + 5z = 9z Solving 8 + 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. 8 + 5z + -9z = 9z + -9z Combine like terms: 5z + -9z = -4z 8 + -4z = 9z + -9z Combine like terms: 9z + -9z = 0 8 + -4z = 0 Add '-8' to each side of the equation. 8 + -8 + -4z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4z = 0 + -8 -4z = 0 + -8 Combine like terms: 0 + -8 = -8 -4z = -8 Divide each side by '-4'. z = 2 Simplifying z = 2
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