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Simplifying 6(z + 5) = 78 Reorder the terms: 6(5 + z) = 78 (5 * 6 + z * 6) = 78 (30 + 6z) = 78 Solving 30 + 6z = 78 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 6z = 78 + -30 Combine like terms: 30 + -30 = 0 0 + 6z = 78 + -30 6z = 78 + -30 Combine like terms: 78 + -30 = 48 6z = 48 Divide each side by '6'. z = 8 Simplifying z = 8
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