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Simplifying 7(z + 8) = z + 2 Reorder the terms: 7(8 + z) = z + 2 (8 * 7 + z * 7) = z + 2 (56 + 7z) = z + 2 Reorder the terms: 56 + 7z = 2 + z Solving 56 + 7z = 2 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 56 + 7z + -1z = 2 + z + -1z Combine like terms: 7z + -1z = 6z 56 + 6z = 2 + z + -1z Combine like terms: z + -1z = 0 56 + 6z = 2 + 0 56 + 6z = 2 Add '-56' to each side of the equation. 56 + -56 + 6z = 2 + -56 Combine like terms: 56 + -56 = 0 0 + 6z = 2 + -56 6z = 2 + -56 Combine like terms: 2 + -56 = -54 6z = -54 Divide each side by '6'. z = -9 Simplifying z = -9
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