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Simplifying 6(z + 9) = 1 + 7z Reorder the terms: 6(9 + z) = 1 + 7z (9 * 6 + z * 6) = 1 + 7z (54 + 6z) = 1 + 7z Solving 54 + 6z = 1 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 54 + 6z + -7z = 1 + 7z + -7z Combine like terms: 6z + -7z = -1z 54 + -1z = 1 + 7z + -7z Combine like terms: 7z + -7z = 0 54 + -1z = 1 + 0 54 + -1z = 1 Add '-54' to each side of the equation. 54 + -54 + -1z = 1 + -54 Combine like terms: 54 + -54 = 0 0 + -1z = 1 + -54 -1z = 1 + -54 Combine like terms: 1 + -54 = -53 -1z = -53 Divide each side by '-1'. z = 53 Simplifying z = 53
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