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Simplifying 7(z + 3) + -2 = 61 Reorder the terms: 7(3 + z) + -2 = 61 (3 * 7 + z * 7) + -2 = 61 (21 + 7z) + -2 = 61 Reorder the terms: 21 + -2 + 7z = 61 Combine like terms: 21 + -2 = 19 19 + 7z = 61 Solving 19 + 7z = 61 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 7z = 61 + -19 Combine like terms: 19 + -19 = 0 0 + 7z = 61 + -19 7z = 61 + -19 Combine like terms: 61 + -19 = 42 7z = 42 Divide each side by '7'. z = 6 Simplifying z = 6
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