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Simplifying 7(z + 9) = 9 + 8z Reorder the terms: 7(9 + z) = 9 + 8z (9 * 7 + z * 7) = 9 + 8z (63 + 7z) = 9 + 8z Solving 63 + 7z = 9 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 63 + 7z + -8z = 9 + 8z + -8z Combine like terms: 7z + -8z = -1z 63 + -1z = 9 + 8z + -8z Combine like terms: 8z + -8z = 0 63 + -1z = 9 + 0 63 + -1z = 9 Add '-63' to each side of the equation. 63 + -63 + -1z = 9 + -63 Combine like terms: 63 + -63 = 0 0 + -1z = 9 + -63 -1z = 9 + -63 Combine like terms: 9 + -63 = -54 -1z = -54 Divide each side by '-1'. z = 54 Simplifying z = 54
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