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Simplifying 7(z + 1) + -2 = 9z + 3 Reorder the terms: 7(1 + z) + -2 = 9z + 3 (1 * 7 + z * 7) + -2 = 9z + 3 (7 + 7z) + -2 = 9z + 3 Reorder the terms: 7 + -2 + 7z = 9z + 3 Combine like terms: 7 + -2 = 5 5 + 7z = 9z + 3 Reorder the terms: 5 + 7z = 3 + 9z Solving 5 + 7z = 3 + 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. 5 + 7z + -9z = 3 + 9z + -9z Combine like terms: 7z + -9z = -2z 5 + -2z = 3 + 9z + -9z Combine like terms: 9z + -9z = 0 5 + -2z = 3 + 0 5 + -2z = 3 Add '-5' to each side of the equation. 5 + -5 + -2z = 3 + -5 Combine like terms: 5 + -5 = 0 0 + -2z = 3 + -5 -2z = 3 + -5 Combine like terms: 3 + -5 = -2 -2z = -2 Divide each side by '-2'. z = 1 Simplifying z = 1
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