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Simplifying 78 = 6(z + 9) Reorder the terms: 78 = 6(9 + z) 78 = (9 * 6 + z * 6) 78 = (54 + 6z) Solving 78 = 54 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 78 + -6z = 54 + 6z + -6z Combine like terms: 6z + -6z = 0 78 + -6z = 54 + 0 78 + -6z = 54 Add '-78' to each side of the equation. 78 + -78 + -6z = 54 + -78 Combine like terms: 78 + -78 = 0 0 + -6z = 54 + -78 -6z = 54 + -78 Combine like terms: 54 + -78 = -24 -6z = -24 Divide each side by '-6'. z = 4 Simplifying z = 4
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